Matches in SemOpenAlex for { <https://semopenalex.org/work/W3130319900> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W3130319900 abstract "In this thesis we study simultaneous realizations of multiple irreducible representations spaces within matrix algebras. In so doing we show how relations between irreducible representation spaces arise as a consequence of expressing fundamental and adjoint representation spaces as linearly independent subspaces. Our work proceeds in two parts. In both cases we work with the algebra M(8,C), which spans the space of eight by eight complex matrices. This space is chosen as it is: the smallest possible space to simultaneously incorporate the different gauge representations of the Standard Model, isomorphic to the complex Clifford algebra Cl(6), and a realization of the linear maps on the complexified Octonions. In the first part we present an explicit embedding of the Standard Model gauge groups. Second, we show the induction of a direct sum decomposition of the matrix algebra into a set of irreducible representation spaces. We discuss the features of and relationships between the irreducible representation spaces in the matrix algebra, and compare our results to features of Supersymmetry, Grand Unified Theories, and Noncommutative Geometry. Our work is not intended to be a derivation or explanation of Standard Model gauge representations. Instead, our work proposes a novel approach to studying combinations of irreducible representation spaces. As such this work explores the introduction of linear independence between irreducible representation spaces, the implications of this additional structure as realized in finite dimensional vector spaces, and relates our results to the Standard Model's irreducible representation spaces." @default.
- W3130319900 created "2021-03-01" @default.
- W3130319900 creator A5031399983 @default.
- W3130319900 date "2021-01-15" @default.
- W3130319900 modified "2023-10-17" @default.
- W3130319900 title "Matrix algebras, irreducible representation spaces, and relation to particle physics" @default.
- W3130319900 hasPublicationYear "2021" @default.
- W3130319900 type Work @default.
- W3130319900 sameAs 3130319900 @default.
- W3130319900 citedByCount "0" @default.
- W3130319900 crossrefType "journal-article" @default.
- W3130319900 hasAuthorship W3130319900A5031399983 @default.
- W3130319900 hasConcept C106487976 @default.
- W3130319900 hasConcept C12362212 @default.
- W3130319900 hasConcept C13336665 @default.
- W3130319900 hasConcept C136119220 @default.
- W3130319900 hasConcept C142292226 @default.
- W3130319900 hasConcept C14394260 @default.
- W3130319900 hasConcept C159985019 @default.
- W3130319900 hasConcept C168914881 @default.
- W3130319900 hasConcept C17744445 @default.
- W3130319900 hasConcept C192562407 @default.
- W3130319900 hasConcept C199539241 @default.
- W3130319900 hasConcept C202444582 @default.
- W3130319900 hasConcept C2776359362 @default.
- W3130319900 hasConcept C33923547 @default.
- W3130319900 hasConcept C94618114 @default.
- W3130319900 hasConcept C94625758 @default.
- W3130319900 hasConceptScore W3130319900C106487976 @default.
- W3130319900 hasConceptScore W3130319900C12362212 @default.
- W3130319900 hasConceptScore W3130319900C13336665 @default.
- W3130319900 hasConceptScore W3130319900C136119220 @default.
- W3130319900 hasConceptScore W3130319900C142292226 @default.
- W3130319900 hasConceptScore W3130319900C14394260 @default.
- W3130319900 hasConceptScore W3130319900C159985019 @default.
- W3130319900 hasConceptScore W3130319900C168914881 @default.
- W3130319900 hasConceptScore W3130319900C17744445 @default.
- W3130319900 hasConceptScore W3130319900C192562407 @default.
- W3130319900 hasConceptScore W3130319900C199539241 @default.
- W3130319900 hasConceptScore W3130319900C202444582 @default.
- W3130319900 hasConceptScore W3130319900C2776359362 @default.
- W3130319900 hasConceptScore W3130319900C33923547 @default.
- W3130319900 hasConceptScore W3130319900C94618114 @default.
- W3130319900 hasConceptScore W3130319900C94625758 @default.
- W3130319900 hasLocation W31303199001 @default.
- W3130319900 hasOpenAccess W3130319900 @default.
- W3130319900 hasPrimaryLocation W31303199001 @default.
- W3130319900 hasRelatedWork W106360961 @default.
- W3130319900 hasRelatedWork W11642728 @default.
- W3130319900 hasRelatedWork W1538240564 @default.
- W3130319900 hasRelatedWork W1560569348 @default.
- W3130319900 hasRelatedWork W2002122116 @default.
- W3130319900 hasRelatedWork W2005518803 @default.
- W3130319900 hasRelatedWork W2027902204 @default.
- W3130319900 hasRelatedWork W2061521610 @default.
- W3130319900 hasRelatedWork W2080606914 @default.
- W3130319900 hasRelatedWork W2092338594 @default.
- W3130319900 hasRelatedWork W2151529797 @default.
- W3130319900 hasRelatedWork W2166924512 @default.
- W3130319900 hasRelatedWork W2603250696 @default.
- W3130319900 hasRelatedWork W2811080559 @default.
- W3130319900 hasRelatedWork W2974438450 @default.
- W3130319900 hasRelatedWork W2997075764 @default.
- W3130319900 hasRelatedWork W3099445345 @default.
- W3130319900 hasRelatedWork W3099722896 @default.
- W3130319900 hasRelatedWork W3105772749 @default.
- W3130319900 hasRelatedWork W2410460944 @default.
- W3130319900 isParatext "false" @default.
- W3130319900 isRetracted "false" @default.
- W3130319900 magId "3130319900" @default.
- W3130319900 workType "article" @default.