scholarly journals Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis

2020 ◽  
Vol 24 (19) ◽  
pp. 551-579
Author(s):  
Ming Fang ◽  
Kay Jin Lim ◽  
Kai Meng Tan
Keyword(s):  
Weyl Modules

scholarly journals Fayers’ conjecture and the socles of cyclotomic Weyl modules

2018 ◽  
Vol 371 (2) ◽  
pp. 1271-1307 ◽  
Author(s):  
Jun Hu ◽  
Andrew Mathas
Keyword(s):  
Weyl Modules

scholarly journals Weyl modules and Weyl functors for hyper-map algebras

2020 ◽  
pp. 2140007
Author(s):  
Angelo Bianchi ◽  
Samuel Chamberlin
Keyword(s):  
Lie Algebra ◽  
Finitely Generated ◽  
Weyl Modules ◽  
Simple Lie Algebra ◽  
Finite Dimensional ◽  
Universal Properties ◽  
Definition Of ◽  
Unitary Algebra

We investigate the representations of the hyperalgebras associated to the map algebras [Formula: see text], where [Formula: see text] is any finite-dimensional complex simple Lie algebra and [Formula: see text] is any associative commutative unitary algebra with a multiplicatively closed basis. We consider the natural definition of the local and global Weyl modules, and the Weyl functor for these algebras. Under certain conditions, we prove that these modules satisfy certain universal properties, and we also give conditions for the local or global Weyl modules to be finite-dimensional or finitely generated, respectively.

scholarly journals Weyl Modules for the Hyperspecial Current Algebra

2014 ◽  
Vol 2015 (15) ◽  
pp. 6470-6515 ◽  
Author(s):  
Vyjayanthi Chari ◽  
Bogdan Ion ◽  
Deniz Kus
Keyword(s):  
Current Algebra ◽  
Weyl Modules

scholarly journals Semi-infinite Plücker Relations and Weyl Modules

2018 ◽  
Vol 2020 (14) ◽  
pp. 4357-4394 ◽  
Author(s):  
Evgeny Feigin ◽  
Ievgen Makedonskyi
Keyword(s):  
Type A ◽  
Character Formula ◽  
Flag Varieties ◽  
Coordinate Ring ◽  
Weyl Modules ◽  
Plücker Relations ◽  
Plücker Embedding ◽  
Formal Version ◽  
The Ideal

Abstract The goal of this paper is two-fold. First, we write down the semi-infinite Plücker relations, describing the Drinfeld–Plücker embedding of the (formal version of) semi-infinite flag varieties in type A. Second, we study the homogeneous coordinate ring, that is, the quotient by the ideal generated by the semi-infinite Plücker relations. We establish the isomorphism with the algebra of dual global Weyl modules and derive a new character formula.

scholarly journals Approaches to Resolution of Weyl Modules

2001 ◽  
Vol 27 (1) ◽  
pp. 82-191 ◽  
Author(s):  
David A. Buchsbaum ◽  
Gian-Carlo Rota
Keyword(s):  
Weyl Modules

scholarly journals Periodicity of Weyl modules for SL(2, q)

1982 ◽  
Vol 74 (1) ◽  
pp. 52-54 ◽  
Author(s):  
J Alperin ◽  
L.G Kovacs
Keyword(s):  
Weyl Modules
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