Algebras and representation theory, ISSN 1572-9079, 1998

Journal

2017, Contemporary mathematics, ISBN 9781470424602, Volume 683., x, 361 pages

Book

2011, Fields Institute communications, ISBN 9780821852378, Volume 59, 213

Book

2011, Contemporary mathematics, ISBN 9780821852392, Volume 537, viii, 324

Book

2012, Mathematical surveys and monographs, ISBN 9780821875810, Volume 181, xvii, 367

Book

2014, CRM monograph series, ISBN 0821843559, Volume 33, xi, 306 pages

Book

2017, Graduate studies in mathematics, ISBN 9781470425562, Volume 184, x, 334 pages

Book

2015, Volume 652.

Conference Proceeding

2015, Mathematical surveys and monographs, ISBN 1470420244, Volume no. 205., xvi, 343

Book

2013, Student mathematical library, ISBN 9780821891766, Volume 67, xiii, 298

Book

2011, Student mathematical library, ISBN 9780821853511, Volume 59, vii, 228

Book

2008, Graduate studies in mathematics, ISBN 082184153X, Volume 91, xxv, 648

Book

Algebras and representation theory, ISSN 1572-9079, 2018, Volume 22, Issue 6, pp. 1513 - 1532

We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras...

PBW deformation | Associative Rings and Algebras | Fomin–Kirillov algebra | Non-associative Rings and Algebras | Polynomial identity | Commutative Rings and Algebras | Mathematics | Clifford algebra | Nichols algebra | Hopf algebra | Primary 16T05 | Secondary 20F55 | MATHEMATICS | Fomin-Kirillov algebra | SYMPLECTIC REFLECTION ALGEBRAS

PBW deformation | Associative Rings and Algebras | Fomin–Kirillov algebra | Non-associative Rings and Algebras | Polynomial identity | Commutative Rings and Algebras | Mathematics | Clifford algebra | Nichols algebra | Hopf algebra | Primary 16T05 | Secondary 20F55 | MATHEMATICS | Fomin-Kirillov algebra | SYMPLECTIC REFLECTION ALGEBRAS

Journal Article

Algebras and representation theory, ISSN 1572-9079, 2011, Volume 15, Issue 6, pp. 1081 - 1098

In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail...

17B99 | Associative Rings and Algebras | Deformations | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | Derivations | Hom-Lie algebras | Extensions | Representations of hom-Lie algebras | 55U15 | Representations of hom-lie algebras | MATHEMATICS

17B99 | Associative Rings and Algebras | Deformations | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | Derivations | Hom-Lie algebras | Extensions | Representations of hom-Lie algebras | 55U15 | Representations of hom-lie algebras | MATHEMATICS

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 6/2014, Volume 17, Issue 3, pp. 735 - 773

From any algebra A defined by a single non-degenerate homogeneous quadratic relation f, we prove that the quadratic algebra B defined by the potential w = fz is 3-Calabi–Yau...

Deformations of algebras | Non-associative Rings and Algebras | Commutative Rings and Algebras | Poisson homology | Mathematics | Hochschild homology | 16S80 | Poisson algebras | 17B55 | Associative Rings and Algebras | Koszul algebras | 16E65 | 17B63 | Calabi–Yau algebras | 16S37 | Calabi-Yau algebras | DIMENSION-3 | RINGS | FORMS | MATHEMATICS | GRADED ALGEBRAS | MANIFOLDS | SCHELTER REGULAR ALGEBRAS | Algebra | Rings and Algebras

Deformations of algebras | Non-associative Rings and Algebras | Commutative Rings and Algebras | Poisson homology | Mathematics | Hochschild homology | 16S80 | Poisson algebras | 17B55 | Associative Rings and Algebras | Koszul algebras | 16E65 | 17B63 | Calabi–Yau algebras | 16S37 | Calabi-Yau algebras | DIMENSION-3 | RINGS | FORMS | MATHEMATICS | GRADED ALGEBRAS | MANIFOLDS | SCHELTER REGULAR ALGEBRAS | Algebra | Rings and Algebras

Journal Article

Journal of geometry and physics, ISSN 0393-0440, 2014, Volume 76, Issue February, pp. 38 - 60

The aim of this paper is to introduce and study quadratic Hom–Lie algebras, which are Hom...

Hom–Lie algebra | Representation | Invariant scalar product | Quadratic Hom–Lie algebra | Simple Hom–Lie algebra | Involutive quadratic Hom–Lie algebra | Hom-Lie algebra | Involutive quadratic Hom-Lie algebra | Quadratic Hom-Lie algebra | Simple Hom-Lie algebra | MATHEMATICS | VIRASORO ALGEBRA | DEFORMATIONS | SUPERALGEBRAS | PHYSICS, MATHEMATICAL | Algebra | Mathematics

Hom–Lie algebra | Representation | Invariant scalar product | Quadratic Hom–Lie algebra | Simple Hom–Lie algebra | Involutive quadratic Hom–Lie algebra | Hom-Lie algebra | Involutive quadratic Hom-Lie algebra | Quadratic Hom-Lie algebra | Simple Hom-Lie algebra | MATHEMATICS | VIRASORO ALGEBRA | DEFORMATIONS | SUPERALGEBRAS | PHYSICS, MATHEMATICAL | Algebra | Mathematics

Journal Article

2016, Graduate studies in mathematics, ISBN 9781470423070, Volume 174, xii, 295 pages

Book

Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 04/2015, Volume 2015, Issue 701, pp. 77 - 126

Let 𝔤 = 𝔫 ⊕ 𝔥 ⊕ 𝔫
be a simple Lie algebra over ℂ of type
,
,
, and let
𝔤) be the associated quantum loop algebra...

MATHEMATICS | BASES | AFFINE ALGEBRAS | QUIVER VARIETIES | Q-CHARACTERS | FINITE-DIMENSIONAL REPRESENTATIONS | CLUSTER ALGEBRAS | T-SYSTEMS | Mathematics | Representation Theory

MATHEMATICS | BASES | AFFINE ALGEBRAS | QUIVER VARIETIES | Q-CHARACTERS | FINITE-DIMENSIONAL REPRESENTATIONS | CLUSTER ALGEBRAS | T-SYSTEMS | Mathematics | Representation Theory

Journal Article

2015, Mathematical surveys and monographs, ISBN 9781470425456, Volume no. 209., viii, 218

Book

2008, Mathematical surveys and monographs, ISBN 9780821841860, Volume no. 150., xxv, 759

Book

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