Matches in SemOpenAlex for { <https://semopenalex.org/work/W3106459065> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W3106459065 endingPage "308" @default.
- W3106459065 startingPage "308" @default.
- W3106459065 abstract "It is shown that $A:=H_{1,eta}(G)$, the Sympectic Reflection Algebra, has $T_G$ independent traces, where $T_G$ is the number of conjugacy classes of elements without eigenvalue 1 belonging to the finite group $G$ generated by the system of symplectic reflections. Simultaneously, we show that the algebra $A$, considered as a superalgebra with a natural parity, has $S_G$ independent supertraces, where $S_G$ is the number of conjugacy classes of elements without eigenvalue -1 belonging to $G$. We consider also $A$ as a Lie algebra $A^L$ and as a Lie superalgebra $A^S$. It is shown that if $A$ is a simple associative algebra, then the supercommutant $[A^{S},A^{S}]$ is a simple Lie superalgebra having at least $S_G$ independent supersymmetric invariant non-degenerate bilinear forms, and the quotient $[A^L,A^L]/([A^L,A^L]capmathbb C)$ is a simple Lie algebra having at least $T_G$ independent symmetric invariant non-degenerate bilinear forms." @default.
- W3106459065 created "2020-11-23" @default.
- W3106459065 creator A5048967254 @default.
- W3106459065 creator A5081237911 @default.
- W3106459065 date "2021-01-01" @default.
- W3106459065 modified "2023-09-26" @default.
- W3106459065 title "The number of independent traces and supertraces on symplectic reflection algebras" @default.
- W3106459065 cites W1824123255 @default.
- W3106459065 cites W1972847599 @default.
- W3106459065 cites W2057075003 @default.
- W3106459065 cites W2073522523 @default.
- W3106459065 cites W2330999786 @default.
- W3106459065 cites W2963564816 @default.
- W3106459065 cites W3102186215 @default.
- W3106459065 doi "https://doi.org/10.1080/14029251.2014.936755" @default.
- W3106459065 hasPublicationYear "2021" @default.
- W3106459065 type Work @default.
- W3106459065 sameAs 3106459065 @default.
- W3106459065 citedByCount "5" @default.
- W3106459065 countsByYear W31064590652017 @default.
- W3106459065 countsByYear W31064590652019 @default.
- W3106459065 countsByYear W31064590652021 @default.
- W3106459065 countsByYear W31064590652023 @default.
- W3106459065 crossrefType "journal-article" @default.
- W3106459065 hasAuthorship W3106459065A5048967254 @default.
- W3106459065 hasAuthorship W3106459065A5081237911 @default.
- W3106459065 hasBestOaLocation W31064590651 @default.
- W3106459065 hasConcept C121332964 @default.
- W3106459065 hasConcept C123439655 @default.
- W3106459065 hasConcept C136119220 @default.
- W3106459065 hasConcept C168619227 @default.
- W3106459065 hasConcept C186863843 @default.
- W3106459065 hasConcept C190470478 @default.
- W3106459065 hasConcept C202444582 @default.
- W3106459065 hasConcept C33923547 @default.
- W3106459065 hasConcept C37914503 @default.
- W3106459065 hasConcept C51568863 @default.
- W3106459065 hasConcept C5475112 @default.
- W3106459065 hasConcept C62520636 @default.
- W3106459065 hasConcept C72319582 @default.
- W3106459065 hasConcept C78804095 @default.
- W3106459065 hasConcept C81999800 @default.
- W3106459065 hasConcept C87945829 @default.
- W3106459065 hasConcept C8828549 @default.
- W3106459065 hasConceptScore W3106459065C121332964 @default.
- W3106459065 hasConceptScore W3106459065C123439655 @default.
- W3106459065 hasConceptScore W3106459065C136119220 @default.
- W3106459065 hasConceptScore W3106459065C168619227 @default.
- W3106459065 hasConceptScore W3106459065C186863843 @default.
- W3106459065 hasConceptScore W3106459065C190470478 @default.
- W3106459065 hasConceptScore W3106459065C202444582 @default.
- W3106459065 hasConceptScore W3106459065C33923547 @default.
- W3106459065 hasConceptScore W3106459065C37914503 @default.
- W3106459065 hasConceptScore W3106459065C51568863 @default.
- W3106459065 hasConceptScore W3106459065C5475112 @default.
- W3106459065 hasConceptScore W3106459065C62520636 @default.
- W3106459065 hasConceptScore W3106459065C72319582 @default.
- W3106459065 hasConceptScore W3106459065C78804095 @default.
- W3106459065 hasConceptScore W3106459065C81999800 @default.
- W3106459065 hasConceptScore W3106459065C87945829 @default.
- W3106459065 hasConceptScore W3106459065C8828549 @default.
- W3106459065 hasIssue "3" @default.
- W3106459065 hasLocation W31064590651 @default.
- W3106459065 hasLocation W31064590652 @default.
- W3106459065 hasLocation W31064590653 @default.
- W3106459065 hasOpenAccess W3106459065 @default.
- W3106459065 hasPrimaryLocation W31064590651 @default.
- W3106459065 hasRelatedWork W1667640166 @default.
- W3106459065 hasRelatedWork W2044229971 @default.
- W3106459065 hasRelatedWork W2054620567 @default.
- W3106459065 hasRelatedWork W2147192556 @default.
- W3106459065 hasRelatedWork W2951558060 @default.
- W3106459065 hasRelatedWork W2978112077 @default.
- W3106459065 hasRelatedWork W3098151778 @default.
- W3106459065 hasRelatedWork W3106459065 @default.
- W3106459065 hasRelatedWork W4299644974 @default.
- W3106459065 hasRelatedWork W4310910515 @default.
- W3106459065 hasVolume "21" @default.
- W3106459065 isParatext "false" @default.
- W3106459065 isRetracted "false" @default.
- W3106459065 magId "3106459065" @default.
- W3106459065 workType "article" @default.