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

DOI10.4064/SM-117-2-195-203zbMath0837.47039OpenAlexW1026038333WikidataQ115217640 ScholiaQ115217640MaRDI QIDQ4862959

Sergei D. Silvestrov

Publication date: 4 February 1996

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216251

zbMATH Keywords

\(*\)-algebrairreducible Hilbert space representationsLie algebra of the group of plane motions

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) Abstract operator algebras on Hilbert spaces (47L30) Nonassociative topological algebras with an involution (46K70) ``Super (or ``skew) structure (16W55) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (4)

\(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization ⋮ Cohomology of 3-dimensional color Lie algebras ⋮ Representations of the \(q\)-deformed Lie algebra of the group of motions of the Euclidean plane ⋮ Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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