Representation Theory of the American Mathematical Society (Represent Theor )
Description
This electroniconly journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content.
 Impact factor0.00
 5year impact0.00
 Cited halflife0.00
 Immediacy index0.00
 Eigenfactor0.00
 Article influence0.00
 WebsiteRepresentation Theory website
 Other titlesRepresentation theory
 ISSN10884165
 OCLC34602921
 Material typeDocument, Internet resource
 Document typeInternet Resource, Computer File, Journal / Magazine / Newspaper
Publisher details
 Preprint
 Author can archive a preprint version
 Postprint
 Author can archive a postprint version
 Conditions
 Must include set publisher statement  (First published in [Publication] in [volume and number, or year], published by the American Mathematical Society)
 Publisher's version/PDF may be used
 May be deposited in open access repositories
 Noncommercial
 Eligible UK authors may deposit in OpenDepot
 Classification green
Publications in this journal
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ABSTRACT: To a nite subgroup of SL2(C), we associate a new family of quantum algebras which are related to symplectic reection algebras for wreath products Sl o via a functor of SchurWeyl type. We explain that they are deformations of matrix algebras over rankone symplectic reection algebras for and construct for them a PBW basis. When is a cyclic group, we are able to give more information about their structure and to relate them to Yangians.Representation Theory of the American Mathematical Society 01/2010; 14(04):148200.  Representation Theory of the American Mathematical Society 01/2010; 14(08):285323.
 Representation Theory of the American Mathematical Society 01/2010; 14(09):324354.
 Representation Theory of the American Mathematical Society 01/2010; 14(01):18.
 Representation Theory of the American Mathematical Society 01/2010; 14(05):201248.
 Representation Theory of the American Mathematical Society 01/2009; 13(06):6381.
 Representation Theory of the American Mathematical Society 01/2009; 13(17):371390.
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ABSTRACT: Let $G$ be a connected, simplyconnected, and almost simple algebraic group, and let $\sigma$ be a Dynkin automorphism on $G$. In this paper, we get a bijection between the set of $\st$invariant MV cycles (polytopes) for $G$ and the set of MV cycles (polytopes) for $G^\st$, which is the fixed point subgroup of $G$; moreover, this bijection can be restricted to the set of MV cycles (polytopes) in irreducible representations. As an application, we obtain a new proof of the twining character formula.Representation Theory of the American Mathematical Society 01/2009; 13(03):1932.  [Show abstract] [Hide abstract]
ABSTRACT: We give an apriori description of a set of irreducible representations of a Weyl group which parametrize the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent element in a connected reductive group.Representation Theory of the American Mathematical Society 01/2009; 13(18):391400.  Representation Theory of the American Mathematical Society 01/2009; 13(15):348348.
 Representation Theory of the American Mathematical Society 01/2008; 12(11):260293.

Article: Admissible $W$graphs
Representation Theory of the American Mathematical Society 01/2008; 12(14):346368.  [Show abstract] [Hide abstract]
ABSTRACT: We determine the unitary dual of the geometric graded Hecke algebras with {unequal} parameters which appear in Lusztig's classification of unipotent representations for {exceptional} $p$adic groups. The largest such algebra is of type $F_4.$ Via the BarbaschMoy correspondence of unitarity applied to this setting, this is equivalent to the identification of the corresponding unitary unipotent representations with real central character of the $p$adic groups. In order for this correspondence to be applicable here, we show (following Lusztig's geometric classification, and Barbasch and Moy's original argument) that the set of tempered modules with real central character for a geometric graded Hecke algebra is linearly independent when restricted to the Weyl group.Representation Theory of the American Mathematical Society 01/2008; 12(19):453498.  [Show abstract] [Hide abstract]
ABSTRACT: For every absolutely irreducible orthogonal representation of a twisted form of SL2 over a field of characteristic zero, we compute the "unique" symmetric bilinear form that is invariant under the group action. We also prove the analogous result for Weyl modules in prime characteristic (including characteristic 2) and an isomorphism between two symmetric bilinear forms given by binomial coefficients. Comment: Supporting contextual material is substantially revised since v2; proofs of the main results remain the same. For possible newer versions, see http://www.mathcs.emory.edu/~skip/preprints.htmlRepresentation Theory of the American Mathematical Society 01/2008; 12(17):435446.  Representation Theory of the American Mathematical Society 01/2008; 12(18):447452.
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ABSTRACT: Using the methods of Kang et al. and recent results on the characters of KirillovReshetikhin modules by Nakajima and Hernandez, the existence of KirillovReshetikhin crystals B^{r,s} is established for all nonexceptional affine types. We also prove that the crystals B^{r,s} of type B_n^{(1)}, D_n^{(1)}, and A_{2n1}^{(2)} are isomorphic to recently constructed combinatorial crystals for r not a spin node.Representation Theory of the American Mathematical Society 01/2008; 12(20):499499.  Representation Theory of the American Mathematical Society 01/2007; 11(07):172174.
 Representation Theory of the American Mathematical Society 01/2007; 11(08):174192.
 Representation Theory of the American Mathematical Society 01/2007; 11(04):8495.
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