Genz, V, Koshevoy, G. and Schumann, B. . COMBINATORICS OF CANONICAL BASES REVISITED: STRING DATA IN TYPE A. Transform. Groups. NEW YORK: SPRINGER BIRKHAUSER. ISSN 1531-586X

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Abstract

We give a formula for the crystal structure on the integer points of the string polytopes and the *-crystal structure on the integer points of the string cones of type A for arbitrary reduced words. As a byproduct, we obtain defining inequalities for Nakashima-Zelevinsky string polytopes. Furthermore, we give an explicit description of the Kashiwara *-involution on string data for a special choice of reduced word.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Genz, VUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Koshevoy, G.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schumann, B.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-580370
DOI: 10.1007/s00031-021-09668-7
Journal or Publication Title: Transform. Groups
Publisher: SPRINGER BIRKHAUSER
Place of Publication: NEW YORK
ISSN: 1531-586X
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
CRYSTAL BASES; POLYHEDRAL REALIZATIONS; SCHUBERT VARIETIES; PARAMETRIZATIONS; CONEMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/58037

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