A. Stolin

activity

20012005

most citedDynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization

2 citations · 2 across the 5 of their papers we have counts for

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Showing 2001Show all

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math.QA2001

Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras

Eugene Karolinsky, Alexander Stolin

Jiang-Hua Lu showed that any dynamical r-matrix for the pair $(g, u)$ naturally induces a Poisson homogeneous structure on $G / U$ . She also proved that if $g$ is complex simple, $u$ …

math.RA2001

An approach to Hopf algebras via Frobenius coordinates II

Lars Kadison, A. A. Stolin

We study a Hopf algebra $H$ , which is finitely generated and projective over a commutative ring $k$ , as a $P$ -Frobenius algebra. We define modular functions in this setting, and pr…

math.RA2001

An Approach to Hopf Algebras via Frobenius Coordinates I

Lars Kadison, A. A. Stolin

In Section 1 we introduce Frobenius coordinates in the general setting that includes Hopf subalgebras. In Sections 2 and 3 we review briefly the theories of Frobenius algebras and…