Centers and translation functors for category O over symmetrizable Kac-Moody algebras

Fiebig P (2003)

Publication Type: Journal article

Publication year: 2003

Journal

Mathematische Zeitschrift Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 243

Pages Range: 689-717

Journal Issue: 4

Abstract

We show that the structure of blocks outside the critical hyperplanes of category O over any symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules by giving a combinatorial description of the projective objects. As a n application we derive the Kazhdan-Lusztig conjecture for non–integral blocks from the integral case in finite and affine situations.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

How to cite

APA:

Fiebig, P. (2003). Centers and translation functors for category O over symmetrizable Kac-Moody algebras. Mathematische Zeitschrift, 243(4), 689-717.

MLA:

Fiebig, Peter. "Centers and translation functors for category O over symmetrizable Kac-Moody algebras." Mathematische Zeitschrift 243.4 (2003): 689-717.

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