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Gel ’ fand-Zetlin Basis and Clebsch-Gordan Coefficients for Covariant Representations of the Lie superalgebra gl ( m | n )
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jeugt, Joris Van Der |
| Copyright Year | 2010 |
| Abstract | A Gel’fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Lie superalgebra gl(m|n). Explicit expressions for the generators of the Lie superalgebra acting on this basis are determined. Furthermore, Clebsch-Gordan coefficients corresponding to the tensor product of any covariant tensor representation of gl(m|n) with the natural representation V ([1, 0, . . . , 0]) of gl(m|n) with highest weight (1,0,. . . ,0) are computed. Both results are steps for the explicit construction of the parastatistics Fock space. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://users.ugent.be/~jvdjeugt/files/tex/GZ-CGC-glmn2.pdf |
| Alternate Webpage(s) | http://users.ugent.be/~jvdjeugt/files/tex/GZ-CGC-glmn1b.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Clebsch–Gordan coefficients Coefficient FanD protein, E coli Fock space Irreducibility Lie derivative |
| Content Type | Text |
| Resource Type | Article |
