Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions

• Autorzy: Sergei D. Silvestrov
• Języki publikacji: EN

Abstrakty

EN

The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.

Kategorie tematyczne

• 47L60: Algebras of unbounded operators; partial algebras of operators
• 17A45: Quadratic algebras (but not quadratic Jordan algebras)
• 16W55: ``Super'' (or ``skew'') structure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995-1996
• Tom: 117
• Numer: 2
• Strony: 195-203

Daty

wydano

1996

otrzymano

1995-05-25

poprawiono

1995-08-16

Twórcy

autor

Sergei D. Silvestrov

• Department of Mathematics, University Of Umeå, S-90187 Umeå, Sweden,

Bibliografia

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• [11] S. D. Silvestrov, On the classification of 3-dimensional graded ε-Lie algebras, Research Reports Series, No. 2, Department of Mathematics, Umeå University, 1993, 49 pp.
• [12] S. D. Silvestrov, The classification of 3-dimensional graded ε-Lie algebras, to appear.