Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Backhaus, Teodor UNSPECIFIED UNSPECIFIED UNSPECIFIED Kus, Deniz UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language DEGENERATE FLAG VARIETIES; MODULES; BASES Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14103