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Journal of Algebra, ISSN 0021-8693, 02/2020, Volume 544, pp. 329 - 390
In this article we begin the study of representations of simple finite-dimensional noncommutative Jordan superalgebras... 
Representations of Jordan superalgebras | Representation theory of nonassociative superalgebras | Noncommutative Jordan superalgebra | Kronecker factorization theorem | MATHEMATICS | ALGEBRAS | CLASSIFICATION | FINITE-DIMENSIONAL JORDAN | BIMODULES
Journal Article
Mathematische Zeitschrift, ISSN 1432-1823, 2018, Volume 291, Issue 1-2, pp. 113 - 147
...Math. Z. (2019) 291:113–147 https://doi.org/10.1007/s00209-018-2075-4 Mathematische Zeitschrift Spherical subcategories in representation theory Andreas... 
Spherelike poset | Quiver | Mathematics | Cluster-tilting | 16G20 | Finite-dimensional algebra | 16E35 | Spherelike object | 18E30 | Mathematics, general | Derived invariant | Spherical object | Spherical subcategory | MATHEMATICS | ALGEBRAS | CATEGORIES | Algebra
Journal Article
Forum Mathematicum, ISSN 0933-7741, 07/2018, Volume 30, Issue 4, pp. 915 - 928
...) algorithm on the digraph Γ. The category of (unital) -modules is equivalent to a full subcategory of quiver representations of Γ... 
16G60 | Morita equivalence | Leavitt path algebra | nonstable K-theory | quiver representations | graph monoid | 16G20 | dimension function | finite-dimensional modules | GRAPH | MATHEMATICS | MATHEMATICS, APPLIED | K-THEORY
Journal Article
Journal of Topology and Analysis, ISSN 1793-5253, 12/2018, Volume 10, Issue 4, pp. 723 - 816
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2013, Volume 408, Issue 2, pp. 789 - 794
We describe, up to isomorphism, the local multiplier algebra Mloc(A) of a C∗-algebra A which admits only finite dimensional irreducible representations: Mloc... 
[formula omitted]-algebra | Derivation | Finite dimensional irreducible representation | Local multiplier algebra | algebra | MATHEMATICS | MATHEMATICS, APPLIED | STAR-ALGEBRAS | DERIVATIONS | C-algebra | Algebra
Journal Article
Journal of mathematical physics, ISSN 1089-7658, 2014, Volume 55, Issue 9, p. 091704
Journal Article
Selecta Mathematica, ISSN 1022-1824, 3/2013, Volume 19, Issue 1, pp. 125 - 140
A theorem of Y. Berest, P. Etingof and V. Ginzburg states that finite-dimensional irreducible representations of a type A rational Cherednik algebra are classified by one rational number m/n... 
Rational Cherednik algebra | Symmetric group | 14H20 | 70H06 | Mathematics, general | Mathematics | Arc space | 16G99 | MATHEMATICS | MATHEMATICS, APPLIED | HILBERT SCHEMES | FINITE-DIMENSIONAL REPRESENTATIONS | OPERATORS | RATIONAL CHEREDNIK ALGEBRAS | Algebra
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2016, Volume 292, pp. 601 - 706
We provide geometric constructions of modules over the graded Cherednik algebra Hνgr and the rational Cherednik algebra Hνrat attached to a simple algebraic... 
Hitchin fibration | Cherednik algebras | Affine Springer fibers | Affine springer fibers | LIE-ALGEBRAS | MATHEMATICS | AFFINE FLAG MANIFOLDS | REFLECTION GROUPS | GLOBAL SPRINGER THEORY | FINITE-DIMENSIONAL REPRESENTATIONS | INVARIANT-THEORY | Algebra
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2011, Volume 52, Issue 12, pp. 123512 - 123512-12
.... This method, more precisely, the vector coherent state method, has been used by some authors to construct representations of superalgebras but almost, to our knowledge, it has not yet been extended... 
EXACTNESS | HARMONIC-OSCILLATOR | HOLSTEIN-PRIMAKOFF | FINITE-DIMENSIONAL REPRESENTATIONS | MODEL | HIGHEST WEIGHT REPRESENTATIONS | PHYSICS, MATHEMATICAL | Q-BOSON REALIZATIONS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2013, Volume 274, Issue 1, pp. 613 - 645
We explore the relation between self extensions of simple representations of quantum affine algebras and the property of a simple representation being prime... 
17B67 | Extentions | Prime | Quantum affine algebras | 81R50 | Mathematics, general | Mathematics | CRYSTAL BASES | DEMAZURE | QUIVER VARIETIES | FINITE-DIMENSIONAL REPRESENTATIONS | MATHEMATICS | PRODUCTS | CLUSTER ALGEBRAS | SIMPLE MODULES | MINIMAL AFFINIZATIONS | WEYL MODULES | Algebra
Journal Article
Journal of Algebra, ISSN 0021-8693, 2009, Volume 322, Issue 6, pp. 1877 - 1918
Journal Article
Algebras and Representation Theory, ISSN 1386-923X, 2/2019, Volume 22, Issue 1, pp. 141 - 176
Journal Article
Algebra and Number Theory, ISSN 1937-0652, 2018, Volume 12, Issue 2, pp. 379 - 410
For any truncated path algebra 3 of a quiver, we classify, by way of representation-theoretic invariants, the irreducible components of the parametrizing varieties Rep(d) (Lambda... 
Irreducible components | Generic properties of representations | Varieties of representations | MATHEMATICS | varieties of representations | irreducible components | FINITE-DIMENSIONAL REPRESENTATIONS | INFINITE ROOT SYSTEMS | generic properties of representations | GRAPHS
Journal Article
Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 2016, Volume 20, Issue 3, pp. 553 - 593
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 12/2018, Volume 17, Issue 12
Using a combinatorial description due to Jacon and Lecouvey of the wall crossing bijections for cyclotomic rational Cherednik algebras, we show that the irreducible representations L-c(lambda... 
wall crossing bijections | Rational Cherednik algebras | finite dimensional representations | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2007, Volume 276, Issue 1, pp. 221 - 259
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 04/2016, Volume 15, Issue 3
We introduce the notion of Drinfeld polynomials of two-parameter quantum affine algebras and establish a one-to-one correspondence between finite-dimensional irreducible representations and sets of l... 
finite-dimensional representation | evaluation representation | Drinfeld realization | Two-parameter quantum affine algebra | MATHEMATICS | DRINFELD DOUBLES | MATHEMATICS, APPLIED | LUSZTIGS SYMMETRIES
Journal Article
Journal of Algebra, ISSN 0021-8693, 01/2016, Volume 446, pp. 426 - 449
We give a complete classification of all algebras appearing as endomorphism algebras of maximal rigid objects in standard 2-Calabi–Yau categories of finite... 
Finite representation type | 2-CY categories | Tilting objects | Rigid objects | Finite dimensional algebras | MATHEMATICS | CLUSTER CATEGORIES | QUIVERS | TRIANGULATED CATEGORIES | 2-CALABI-YAU CATEGORIES | Algebra | Mathematics | Representation Theory
Journal Article
Canadian journal of statistics, ISSN 0319-5724, 6/2002, Volume 30, Issue 2, pp. 269 - 283
Journal Article
Duke mathematical journal, ISSN 0012-7094, 2010, Volume 154, Issue 2, pp. 265 - 341
Let C be the category of finite-dimensional representations of a quantum affine algebra U-q((g) over cap... 
MATHEMATICS | TENSOR-PRODUCTS | QUIVER VARIETIES | Q-CHARACTERS | FINITE-DIMENSIONAL REPRESENTATIONS | PREPROJECTIVE ALGEBRAS | GENERALIZED ASSOCIAHEDRA | Y-SYSTEMS | SEMICANONICAL BASES | MINIMAL AFFINIZATIONS | 2-CALABI-YAU CATEGORIES | 17B37 | 16D90
Journal Article
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