Works about LIE algebras

Results: 4828

Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 12, p. 12427, doi. 10.1002/mma.11036

By:

Sáez, Sol

Publication type:

Article

Quantum Stochastic Calculus Associated With Quantum Lévy White Noise.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 12, p. 12320, doi. 10.1002/mma.11029

By:

Alzeley, Omar;
Ettaieb, Aymen;
Rguigui, Hafedh

Publication type:

Article

Invariant metrics on nilpotent Lie algebras.

Published in:

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2025, v. 29, n. 1, p. 35, doi. 10.12697/ACUTM.2025.29.03

By:

GARCÍA-DELGADO, ROSENDO

Publication type:

Article

The prescribed Ricci curvature problem on five-dimensional nilpotent Lie groups.

Published in:

International Journal of Geometric Methods in Modern Physics, 2025, v. 22, n. 9, p. 1, doi. 10.1142/S0219887825500550

By:

Foka, Marius Landry;
Mbatakou, Salomon Joseph;
Pefoukeu, Romain Nimpa;
Djiadeu, Michel Bertrand Ngaha;
Bouetou, Thomas Bouetou

Publication type:

Article

Noncommutative Metric Geometry of Quantum Circle Bundles.

Published in:

Communications in Mathematical Physics, 2025, v. 406, n. 8, p. 1, doi. 10.1007/s00220-025-05355-w

By:

Kaad, Jens

Publication type:

Article

Influence of Fractional and Decay Parameters on the SU(1,1) Quantum System Interaction with Three‐Level Atom.

Published in:

Annalen der Physik, 2024, v. 536, n. 10, p. 1, doi. 10.1002/andp.202400080

By:

Obada, A.‐S. F.;
Abu‐Shady, M.;
Khalil, E. M.;
Habeba, H. F.

Publication type:

Article

Dimensions of irreducible modules over W-algebras and Goldie ranks.

Published in:

Inventiones Mathematicae, 2015, v. 200, n. 3, p. 849, doi. 10.1007/s00222-014-0541-0

By:

Losev, Ivan

Publication type:

Article

M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra.

Published in:

Inventiones Mathematicae, 2015, v. 200, n. 3, p. 671, doi. 10.1007/s00222-014-0528-x

By:

Willwacher, Thomas

Publication type:

Article

The Hesselink stratification of nullcones and base change.

Published in:

Inventiones Mathematicae, 2013, v. 191, n. 3, p. 631, doi. 10.1007/s00222-012-0401-8

By:

Clarke, Matthew;
Premet, Alexander

Publication type:

Article

Feigin-Frenkel center in types B, C and D.

Published in:

Inventiones Mathematicae, 2013, v. 191, n. 1, p. 1, doi. 10.1007/s00222-012-0390-7

By:

Molev, A.

Publication type:

Article

Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity.

Published in:

Inventiones Mathematicae, 2012, v. 189, n. 2, p. 457, doi. 10.1007/s00222-011-0369-9

By:

Fu, Baohua;
Hwang, Jun-Muk

Publication type:

Article

A unified quantum SO(3) invariant for rational homology 3-spheres.

Published in:

Inventiones Mathematicae, 2011, v. 185, n. 1, p. 121, doi. 10.1007/s00222-010-0304-5

By:

Beliakova, Anna;
Bühler, Irmgard;
Le, Thang

Publication type:

Article

Super duality and irreducible characters of ortho-symplectic Lie superalgebras.

Published in:

Inventiones Mathematicae, 2011, v. 183, n. 1, p. 189, doi. 10.1007/s00222-010-0277-4

By:

Cheng, Shun-Jen;
Lam, Ngau;
Wang, Weiqiang

Publication type:

Article

Modular Lie algebras and the Gelfand–Kirillov conjecture.

Published in:

Inventiones Mathematicae, 2010, v. 181, n. 2, p. 395, doi. 10.1007/s00222-010-0249-8

By:

Premet, Alexander

Publication type:

Article

Representation theory of $\mathcal{W}$ -algebras.

Published in:

Inventiones Mathematicae, 2007, v. 169, n. 2, p. 219, doi. 10.1007/s00222-007-0046-1

By:

Arakawa, Tomoyuki

Publication type:

Article

Perverse sheaves, Koszul IC-modules, and the quiver for the category $\mathcal{O}$.

Published in:

Inventiones Mathematicae, 2006, v. 167, n. 1, p. 19, doi. 10.1007/s00222-006-0005-2

By:

Vybornov, Maxim

Publication type:

Article

Toda lattice, cohomology of compact Lie groups and finite Chevalley groups.

Published in:

Inventiones Mathematicae, 2006, v. 165, n. 1, p. 163, doi. 10.1007/s00222-005-0492-6

By:

Casian, Luis;
Kodama, Yuji

Publication type:

Article

The Weyl groupoid of a Nichols algebra of diagonal type.

Published in:

Inventiones Mathematicae, 2006, v. 164, n. 1, p. 175, doi. 10.1007/s00222-005-0474-8

By:

Heckenberger, I.

Publication type:

Article

Deformations of coisotropic submanifolds and strong homotopy Lie algebroids.

Published in:

Inventiones Mathematicae, 2005, v. 161, n. 2, p. 287, doi. 10.1007/s00222-004-0426-8

By:

Yong-Geun Oh;
Jae-Suk Park

Publication type:

Article

Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation.

Published in:

Inventiones Mathematicae, 2005, v. 160, n. 3, p. 591, doi. 10.1007/s00222-004-0417-9

By:

Hwang, Jun-Muk;
Mok, Ngaiming

Publication type:

Article

Multiplicative rule of Schubert classes.

Published in:

Inventiones Mathematicae, 2005, v. 159, n. 2, p. 407, doi. 10.1007/s00222-004-0394-z

By:

Duan, Haibao

Publication type:

Article

Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra.

Published in:

Inventiones Mathematicae, 2004, v. 158, n. 1, p. 181, doi. 10.1007/s00222-004-0370-7

By:

Kostant, Bertram

Publication type:

Article

Abelian ideals in a Borel subalgebra of a complex simple Lie algebra.

Published in:

Inventiones Mathematicae, 2004, v. 156, n. 1, p. 175, doi. 10.1007/s00222-003-0337-0

By:

Suter, Ruedi

Publication type:

Article

Absolutely indecomposable representations and Kac-Moody Lie algebras.

Published in:

Inventiones Mathematicae, 2004, v. 155, n. 3, p. 537, doi. 10.1007/s00222-003-0329-0

By:

Crawley-Boevey, William;
Van den Bergh, Michel

Publication type:

Article

Cluster algebras II: Finite type classification.

Published in:

Inventiones Mathematicae, 2003, v. 154, n. 1, p. 63, doi. 10.1007/s00222-003-0302-y

By:

Fomin, Sergey;
Zelevinsky, Andrei

Publication type:

Article

Gamma homology, Lie representations and E<sub>∞</sub> multiplications.

Published in:

Inventiones Mathematicae, 2003, v. 152, n. 2, p. 331, doi. 10.1007/s00222-002-0272-5

By:

Robinson, Alan

Publication type:

Article

The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli.

Published in:

Inventiones Mathematicae, 2003, v. 152, n. 2, p. 349, doi. 10.1007/s00222-002-0273-4

By:

Reineke, Markus

Publication type:

Article

$${\hbar}$$-adic Quantum Vertex Algebras and Their Modules.

Published in:

Communications in Mathematical Physics, 2010, v. 296, n. 2, p. 475, doi. 10.1007/s00220-010-1026-7

By:

Haisheng Li

Publication type:

Article

Langlands Duality for Representations and Quantum Groups at a Root of Unity.

Published in:

Communications in Mathematical Physics, 2010, v. 296, n. 1, p. 89, doi. 10.1007/s00220-010-0993-z

By:

McGerty, Kevin

Publication type:

Article

On q-Deformed $${\mathfrak{gl}_{\ell+1}}$$ -Whittaker Function I.

Published in:

Communications in Mathematical Physics, 2010, v. 294, n. 1, p. 97, doi. 10.1007/s00220-009-0917-y

By:

Gerasimov, Anton;
Lebedev, Dimitri;
Oblezin, Sergey

Publication type:

Article

On the Massive Wave Equation on Slowly Rotating Kerr-AdS Spacetimes.

Published in:

Communications in Mathematical Physics, 2010, v. 294, n. 1, p. 169, doi. 10.1007/s00220-009-0935-9

By:

Holzegel, Gustav

Publication type:

Article

The Hermitian Laplace Operator on Nearly Kähler Manifolds.

Published in:

Communications in Mathematical Physics, 2010, v. 294, n. 1, p. 251, doi. 10.1007/s00220-009-0903-4

By:

Moroianu, Andrei;
Semmelmann, Uwe

Publication type:

Article

Q-Systems, Heaps, Paths and Cluster Positivity.

Published in:

Communications in Mathematical Physics, 2010, v. 293, n. 3, p. 727, doi. 10.1007/s00220-009-0947-5

By:

Di Francesco, Philippe;
Kedem, Rinat

Publication type:

Article

Categorified Symplectic Geometry and the Classical String.

Published in:

Communications in Mathematical Physics, 2010, v. 293, n. 3, p. 701, doi. 10.1007/s00220-009-0951-9

By:

Baez, John C.;
Hoffnung, Alexander E.;
Rogers, Christopher L.

Publication type:

Article

On the Lie-Algebraic Origin of Metric 3-Algebras.

Published in:

Communications in Mathematical Physics, 2009, v. 290, n. 3, p. 871, doi. 10.1007/s00220-009-0760-1

By:

Medeiros, Paul de;
Figueroa-O'Farrill, José;
Méndez-Escobar, Elena;
Ritter, Patricia

Publication type:

Article

Feynman Graphs, Rooted Trees, and Ringel-Hall Algebras.

Published in:

Communications in Mathematical Physics, 2009, v. 289, n. 2, p. 561, doi. 10.1007/s00220-008-0694-z

By:

Kremnizer, Kobi;
Szczesny, Matt

Publication type:

Article

Quantum Enveloping Algebras with von Neumann Regular Cartan-like Generators and the Pierce Decomposition.

Published in:

Communications in Mathematical Physics, 2009, v. 287, n. 2, p. 769, doi. 10.1007/s00220-008-0638-7

By:

Duplij, Steven;
Sinel'shchikov, Sergey

Publication type:

Article

W-Algebra W(2, 2) and the Vertex Operator Algebra L(1/2,0) ⊗ L(1/2,0).

Published in:

Communications in Mathematical Physics, 2009, v. 285, n. 3, p. 991, doi. 10.1007/s00220-008-0562-x

By:

Zhang, Wei;
Dong, Chongying

Publication type:

Article

Melting Crystal, Quantum Torus and Toda Hierarchy.

Published in:

Communications in Mathematical Physics, 2009, v. 285, n. 2, p. 445, doi. 10.1007/s00220-008-0583-5

By:

Nakatsu, Toshio;
Takasaki, Kanehisa

Publication type:

Article

The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure.

Published in:

Communications in Mathematical Physics, 2009, v. 285, n. 2, p. 537, doi. 10.1007/s00220-008-0578-2

By:

Beisert, Niklas;
Spill, Fabian

Publication type:

Article

Current Algebra on the Torus.

Published in:

Communications in Mathematical Physics, 2008, v. 285, n. 1, p. 219, doi. 10.1007/s00220-008-0542-1

By:

Dolan, Louise;
Goddard, Peter

Publication type:

Article

Baxter Operator and Archimedean Hecke Algebra.

Published in:

Communications in Mathematical Physics, 2008, v. 284, n. 3, p. 867, doi. 10.1007/s00220-008-0547-9

By:

Gerasimov, A.;
Lebedev, D.;
Oblezin, S.

Publication type:

Article

Group Orbits and Regular Partitions of Poisson Manifolds.

Published in:

Communications in Mathematical Physics, 2008, v. 283, n. 3, p. 729, doi. 10.1007/s00220-008-0536-z

By:

Jiang-Hua Lu;
Yakimov, Milen

Publication type:

Article

Modules-at-Infinity for Quantum Vertex Algebras.

Published in:

Communications in Mathematical Physics, 2008, v. 282, n. 3, p. 819, doi. 10.1007/s00220-008-0534-1

By:

Haisheng Li

Publication type:

Article

On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization.

Published in:

Communications in Mathematical Physics, 2008, v. 282, n. 3, p. 625, doi. 10.1007/s00220-008-0554-x

By:

Khoroshkin, S.M.;
Pop, I.I.;
Samsonov, M.E.;
Stolin, A.A.;
Tolstoy, V.N.

Publication type:

Article

Orthosymplectic Lie Superalgebras in Superspace Analogues of Quantum Kepler Problems.

Published in:

Communications in Mathematical Physics, 2008, v. 280, n. 2, p. 545, doi. 10.1007/s00220-008-0450-4

By:

Zhang, R. B.

Publication type:

Article

Gauss Decomposition of the Yangian $$Y({\mathfrak{gl}}_{m-n})$$.

Published in:

Communications in Mathematical Physics, 2007, v. 276, n. 3, p. 799, doi. 10.1007/s00220-007-0349-5

By:

Gow, Lucy

Publication type:

Article

Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields.

Published in:

Communications in Mathematical Physics, 2007, v. 271, n. 1, p. 223, doi. 10.1007/s00220-006-0182-2

By:

Bakalov, Bojko;
Nikolov, Nikolay;
Rehren, Karl-Henning;
Todorov, Ivan

Publication type:

Article

Birkhoff Type Decompositions and the Baker–Campbell–Hausdorff Recursion.

Published in:

Communications in Mathematical Physics, 2006, v. 267, n. 3, p. 821, doi. 10.1007/s00220-006-0080-7

By:

Ebrahimi-Fard, Kurusch;
Li Guo;
Manchon, Dominique

Publication type:

Article

On $$\mathbb{Z}$$ -Gradations of Twisted Loop Lie Algebras of Complex Simple Lie Algebras.

Published in:

Communications in Mathematical Physics, 2006, v. 267, n. 3, p. 587, doi. 10.1007/s00220-006-0068-3

By:

Nirov, Kh. S.;
Razumov, A.

Publication type:

Article