Flagged Weyl modules for two column shapes

V. Reiner, M. Shimozono

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This paper investigates representations of the Borel subgroup of the general linear group called flagged Weyl modules, associated to shapes in the plane having two columns. Two formulas for the characters of these modules are given, namely, a recurrence and a generating function over certain column-strict tableaux. Explicit Schubert filtrations (in the sense of Polo) are constructed for the duals of these modules.

Original languageEnglish (US)
Pages (from-to)59-100
Number of pages42
JournalJournal of Pure and Applied Algebra
Issue number1
StatePublished - Aug 19 1999

Bibliographical note

Funding Information:
E-mail addresses: reiner@math.umn.edu (V. Reiner), mshmo@math.vt.edu (M. Shimozono) 1Second author supported by NSF Postdoctoral Research Fellowship DMS-9407639.

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