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On Generalized Sklyanin Algebras
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G. Khimshiashvili
Published/Copyright:
February 23, 2010
Abstract
A class of algebraic Poisson structures on R4 is introduced which contains the well-known Sklyanin algebras. For this class, an effective algebraic method of computing Euler characteristics of Casimir levels is developed which enables us to compute them in the case of Sklyanin algebras. It is also shown that one may associate a finite graph with every generalized Sklyanin algebra. Some related results and open problems are also presented.
Key words and phrases:: Poisson structure; Sklyanin algebra; Casimir level; Euler characteristic; Petrovsky number
Received: 2000-09-18
Published Online: 2010-02-23
Published in Print: 2000-December
© Heldermann Verlag
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Keywords for this article
Poisson structure;
Sklyanin algebra;
Casimir level;
Euler characteristic;
Petrovsky number
Articles in the same Issue
- The Morse Formula for Curves Which are not Locally Simple
- Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
- A Note on the Theorem on Differential Inequalities
- Singular Integral Equations in Special Weighted Spaces
- On Multidimensional SDEs Without Drift and with A Time-Dependent Diffusion Matrix
- Uniform Convergence of N-Dimensional Trigonometric Fourier Series
- Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions
- On Generalized Sklyanin Algebras
- Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces
- On the Teichmüller-Kühnau Extension of Univalent Functions
- Embeddings and Entropy Numbers for General Weighted Sequence Spaces: The Non-Limiting Case
- Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments
- On Bausov-Telyakovskii Type Results
- A Semimartingale Bellman Equation and the Variance-Optimal Martingale Measure
- The Construction of the Bases of Some Eight Level Cusp Form Spaces
