Character theory for semisimple Hopf algebras. (arXiv:0811.3738v1 [math.RA])

... (arXiv:0811.3738v1 [math.RA]) Authors: S. Burciu We study the induction and restriction functor from a Hopf subalgebra of a semisimple Hopf algebra. The image of the induction functor is described when the Hopf subalgebra is normal. In this situation, at the level of characters this image is isomorphic to the image of the ...

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Published: 7 months, 3 weeks ago (Tue, 25 Nov 2008 03:01:43 PST); 948 bytes

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Quivers with relations arising from Koszul algebras of $\mathfrak g$-invariants. (arXiv:0810.1532v1

... g$ be a complex simple Lie algebra and let $\Psi$ be an extremal set of positive roots. One associates with $\Psi$ an infinite dimensional Koszul algebra $\bold S_\Psi^{\lie g}$ which is a graded subalgebra of the locally finite part of $((\bold V)^{op}\tensor S(\lie g))^{\lie g}$, where $\bold V$ is the direct sum of all simple finite dimensional $\lie g$-modules. We describe the structure of ...

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Published: 9 months, 1 week ago (Fri, 10 Oct 2008 14:02:45 PDT); 1219 bytes

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Prolongations of Lie algebras and applications. (arXiv:0712.1398v1 [math.DG])

Prolongations of Lie algebras and applications. (arXiv:0712.1398v1 [math.DG]) Authors: Paul-Andi Nagy We study the skew-symmetric prolongation of a Lie subalgebra $\g \subseteq \mathfrak{so}(n)$, in other words the intersection $\Lambda^3 \cap (\Lambda^1 \otimes \g)$. We compute this space in full generality. Applications include uniqueness results for connections with skew-...

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Published: 1 year, 7 months ago (Tue, 11 Dec 2007 02:21:50 PST); 1309 bytes

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Character theory for semisimple Hopf algebras. (arXiv:0811.3738v1 [math.RA])

Quivers with relations arising from Koszul algebras of $\mathfrak g$-invariants. (arXiv:0810.1532v1

Prolongations of Lie algebras and applications. (arXiv:0712.1398v1 [math.DG])