Affinization of category O for quantum groups

Research output: Working paper

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Affinization of category O for quantum groups. / A. S. Young, C.; Mukhin, E.

2012.

Research output: Working paper

Harvard

A. S. Young, C & Mukhin, E 2012 'Affinization of category O for quantum groups'. <http://arxiv.org/abs/1204.2769>

APA

A. S. Young, C., & Mukhin, E. (2012). Affinization of category O for quantum groups. http://arxiv.org/abs/1204.2769

Vancouver

A. S. Young C, Mukhin E. Affinization of category O for quantum groups. 2012 Apr 12.

Author

A. S. Young, C. ; Mukhin, E. / Affinization of category O for quantum groups. 2012.

Bibtex - Download

@techreport{be84192f93c64e939b714fe2de373ef7,
title = "Affinization of category O for quantum groups",
abstract = "Let g be a simple Lie algebra. We consider the category O-hat of those modules over the affine quantum group Uq(g-hat) whose Uq(g)-weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many properties of the category of the finite-dimensional representations naturally extend to the category O-hat. In particular, we develop the theory of q-characters and define the minimal affinizations of parabolic Verma modules. In types ABCFG we classify these minimal affinizations and conjecture a Weyl denominator type formula for their characters.",
author = "{A. S. Young}, C. and E. Mukhin",
note = "32 pages, latex",
year = "2012",
month = apr,
day = "12",
language = "English",
type = "WorkingPaper",

}

RIS (suitable for import to EndNote) - Download

TY - UNPB

T1 - Affinization of category O for quantum groups

AU - A. S. Young, C.

AU - Mukhin, E.

N1 - 32 pages, latex

PY - 2012/4/12

Y1 - 2012/4/12

N2 - Let g be a simple Lie algebra. We consider the category O-hat of those modules over the affine quantum group Uq(g-hat) whose Uq(g)-weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many properties of the category of the finite-dimensional representations naturally extend to the category O-hat. In particular, we develop the theory of q-characters and define the minimal affinizations of parabolic Verma modules. In types ABCFG we classify these minimal affinizations and conjecture a Weyl denominator type formula for their characters.

AB - Let g be a simple Lie algebra. We consider the category O-hat of those modules over the affine quantum group Uq(g-hat) whose Uq(g)-weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many properties of the category of the finite-dimensional representations naturally extend to the category O-hat. In particular, we develop the theory of q-characters and define the minimal affinizations of parabolic Verma modules. In types ABCFG we classify these minimal affinizations and conjecture a Weyl denominator type formula for their characters.

M3 - Working paper

BT - Affinization of category O for quantum groups

ER -