Backhaus, Teodor and Kus, Deniz (2019). The PBW filtration and convex polytopes in type B. J. Pure Appl. Algebr., 223 (1). S. 245 - 277. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1873-1376
Full text not available from this repository.Abstract
We study the PBW filtration on irreducible finite-dimensional representations for the Lie algebra of type B-n. We prove in various cases, including all multiples of the adjoint representation and all irreducible finite-dimensional representations for B-3, that there exists a normal polytope such that the lattice points of this polytope parametrize a basis of the corresponding associated graded space. As a consequence we obtain several classes of examples for favourable modules and graded combinatorial character formulas. (C) 2018 Elsevier B.V. All rights reserved.
Item Type: | Journal Article | ||||||||||||
Creators: |
|
||||||||||||
URN: | urn:nbn:de:hbz:38-141031 | ||||||||||||
DOI: | 10.1016/j.jpaa.2018.03.009 | ||||||||||||
Journal or Publication Title: | J. Pure Appl. Algebr. | ||||||||||||
Volume: | 223 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | S. 245 - 277 | ||||||||||||
Date: | 2019 | ||||||||||||
Publisher: | ELSEVIER SCIENCE BV | ||||||||||||
Place of Publication: | AMSTERDAM | ||||||||||||
ISSN: | 1873-1376 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
|
||||||||||||
Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/14103 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |