On projective modules in category Oint of quantum sl2

Yiqiang Li

doi:10.1007/s10468-012-9358-y

On projective modules in category O_int of quantum sl₂

Yiqiang Li

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The restriction of a Verma module of U (sl₃) to U(sl ₂) is isomorphic to a Verma module tensoring with all the finite dimensional simple modules of U(sl₂). The canonical basis of the Verma module is compatible with such a decomposition. An explicit decomposition of the tensor product of the Verma module of highest weight 0 with a finite dimensional simple module into indecomposable projective modules in the category O_int of quantum sl₂ is given.

Original language	English
Pages (from-to)	1315-1332
Number of pages	18
Journal	Algebras and Representation Theory
Volume	16
Issue number	5
DOIs	https://doi.org/10.1007/s10468-012-9358-y
State	Published - Oct 2013

Keywords

Canonical basis
Indecomposable projective module

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10.1007/s10468-012-9358-y

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abstract = "The restriction of a Verma module of U (sl3) to U(sl 2) is isomorphic to a Verma module tensoring with all the finite dimensional simple modules of U(sl2). The canonical basis of the Verma module is compatible with such a decomposition. An explicit decomposition of the tensor product of the Verma module of highest weight 0 with a finite dimensional simple module into indecomposable projective modules in the category Oint of quantum sl2 is given.",

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AB - The restriction of a Verma module of U (sl3) to U(sl 2) is isomorphic to a Verma module tensoring with all the finite dimensional simple modules of U(sl2). The canonical basis of the Verma module is compatible with such a decomposition. An explicit decomposition of the tensor product of the Verma module of highest weight 0 with a finite dimensional simple module into indecomposable projective modules in the category Oint of quantum sl2 is given.

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KW - Indecomposable projective module

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ER -

On projective modules in category O_int of quantum sl₂

Abstract

Keywords

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