The Theory of Group Characters and Matrix Representations of Groups
By D. Littlewood. 2006
388 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/1d1dbc72e46516e2c83f083bb9fdf00a7536f949
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In Computational Theory and Mathematics
- T. Enright
- A. Mironov
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Citations in the corpus
- The Random Matrix Theory of the Classical Compact Groups (2019, background): “The character theory on the classical groups in the form presented here is hard to ferret out of the literature; Littlewood’s [74] and Weyl’s [107] books (from 1940 and 1939, respectively) are the standard references, but while they are both gems, they are becoming increasingly inaccessible to the m”
- Local random quantum circuits are approximate polynomial-designs: numerical results (2012, background): “The content of this section can be found in standard books on representation theory of finite groups and algebras, for example, in [37, 38].”
- Jack, Hall-littlewood and Macdonald Polynomials (2006, background): “Sn, or Weyl group of the root system An 1. It is a challenging problem to find the factorizing operators for the bases of polynomials symmetric with respect to Weyl groups corresponding to other root systems, such as, for example, Bn, Cn, or Dn [5, 6 ].”
- On AGT relation in the case of U(3) (2009, background): “Thus, for ǫ = 0 the Nekrasov formulas are more or less natural objects in the theory of character expansions [28, 29] and Hurwitz-Kontsevich partition functions [30], while for ǫ = 0 they belong to representation theory of more sophisticated (quantum affine?) algebras.”
- Hilbert series, Howe duality and branching for classical groups (2004, background): “A form of Theorem 3 and its connection to the Littlewood Restriction Theorem are two of the results in the second author’s thesis which was directed by Professor Wallach. Upon completion of this article we have found several references related to the Littlewood branching rules. The earliest (1951) i”