Universität zu Köln

Chirivi, Rocco, Fang, Xin and Fourier, Ghislain . DEGENERATE SCHUBERT VARIETIES IN TYPE A. Transform. Groups. NEW YORK: SPRINGER BIRKHAUSER. ISSN 1531-586X

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Abstract

We introduce rectangular elements in the symmetric group. In the framework of PBW degenerations, we show that in type A the degenerate Schubert variety associated with a rectangular element is indeed a Schubert variety in a partial ag variety of the same type with larger rank. Moreover, the degenerate Demazure module associated with a rectangular element is isomorphic to the Demazure module for this particular Schubert variety of larger rank. This generalises previous results by Cerulli Irelli, Lanini and Littelmann for the PBW degenerate ag variety in [CLL].

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chirivi, Rocco UNSPECIFIED UNSPECIFIED UNSPECIFIED Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-337210
DOI:	10.1007/s00031-020-09558-4
Journal or Publication Title:	Transform. Groups
Publisher:	SPRINGER BIRKHAUSER
Place of Publication:	NEW YORK
ISSN:	1531-586X
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FLAG VARIETIES; MODULES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/33721