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On algebras of relations

100%

Bredikhin D. A.

Banach Center Publications

1993

tom 28

nr 1

191-199

Representations of Jordan algebras and special functions

100%

Travaglini G.

Colloquium Mathematicum

1991

tom 62

nr 2

257-266

This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.

Sur une algèbre Q-symétrique

100%

Guichardet A.

Annales Polonici Mathematici

1997

tom 66

nr 1

123-135

We establish several properties of a quadratic algebra over a field k, which is a deformation of the symmetric algebra Sk³. In particular, we prove that A is an integral domain, noetherian and Koszul; we compute its first Hochschild cohomology group; we determine the corresponding Poisson structure on k³ and its symplectic leaves; we define an involution on A and describe the corresponding irreducible involutive representations.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

1 Colloquium Mathematicum

1 Bredikhin D. A.

1 Guichardet A.

1 Travaglini G.

1 1997

1 1993

1 1991

Wyniki wyszukiwania

On algebras of relations

Representations of Jordan algebras and special functions

Sur une algèbre Q-symétrique