A. Stolin

collaborators

8 papers

math.QA2005

Irreducible highest-weight modules and equivariant quantization

E. Karolinsky, A. Stolin, V. Tarasov

We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules $M (λ)$ for generic weight $λ$ to the case of general $λ$ . We consider the relation…

math.QA2004

A Quantum Analogue of the Bernstein Functor

S. Sinel'shchikov, A. Stolin, L. Vaksman

We consider Knapp-Vogan Hecke algebras in the quantum group setting. This allows us to produce a quantum analogue of the Bernstein functor as a first step towards the cohomological…

math.QA2003★ 2 cited

Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization

Eugene Karolinsky, Kolya Muzykin, Alexander Stolin +1

This paper is a continuation of [KS]. We develop the results of [KS] principally in two directions. First, we generalize the main result of [KS], the connection between the solutio…

math.NT2002

Fine Structure of Class Groups $\cl^{(p)}\Q(\z_n)$ and the Kervaire--Murthy Conjectures II

Ola Helenius, Alexander Stolin

There is an Mayer-Vietoris exact sequence involving the Picard group of the integer group ring $Z C_{p^{n}}$ where $C_{p^{n}}$ is the cyclic group of order $p^{n}$ and $ζ_{n - 1}$ is a pr…

math.NT2002

Fine Structure of Class Groups of Prime Power Cyclotomic Fields and the Kervaire-Murthy Conjectures

Ola Helenius, Alexander Stolin

In 1977 Kervaire and Murthy presented three conjectures regarding $K_{0} Z C_{p^{n}}$ , where $C_{p^{n}}$ is the cyclic group of order $p^{n}$ and $p$ is a semi-regular prime. The…

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, $u$ …