The symmetric group - representations, combinatorial algorithms, and symmetric functions
By Bruce E. Sagan. Wadsworth & Brooks / Cole mathematics series, 2001
1,346 citations recorded by the source corpus.
Subfields: Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/3d02f40097bd1a0cb6ce7a9062cdf57085fde60e
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In Electrical and Electronic Engineering
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Citations in the corpus
- Some homological properties of the category O (2007, methodology): “First we observe that in the case g = sln every two-sided cell of W contains an element of the form wS 0, where WS is a parabolic subgroup of W. Indeed, from [BB, Theorem 6.5.1] we have that there is a bijection between the twosided cells of Sn and partitions of n. Using [BB, Theorem 6.5.1] and [ Sa”
- Categorification of (induced) cell modules and the rough structure of generalized Verma modules (2007, neutral): “where m = r1 + r2 − 1. Since 0 Sa , Definition 3.6.8]) to interchange 0 and m in the second row of the above permutation.”
- Modules of the 0-Hecke algebra and quasisymmetric Schur functions (2014, background): “The authors were supported in part by the National Sciences and Engineering Research Council of Canada.”
- Möbius functions and semigroup representation theory II: Character formulas and multiplicities (2006, background): “If � is a partition of r, let χ� denote the irreducible character of Sr associated to � [ 42 ].”
- Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables (2005, neutral): “C O ] 4 F eb 2”
- Determinantal random point fields (2000, background): “For the basic facts about partitions we refer the reader to [61]–[64].”
- Surveys in Combinatorics 2011: The cyclic sieving phenomenon: a survey (2010, background): “Readers interested in a more information about representation theory, especially as it relates to symmetric groups, can consult the texts of James [28], James and Kerber [29], or Sagan [55].”
- Weighted Hurwitz Numbers and Topological Recursion (2018, methodology): “using the Frobenius character formula [37,59,74], sλ = ∑”