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## Halverson, Thomas

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 Author ID: halverson.thomas Published as: Halverson, T.; Halverson, Thomas; Halverson, Tom
 Documents Indexed: 31 Publications since 1994
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#### Co-Authors

 6 single-authored 8 Ram, Arun 7 Benkart, Georgia M. 2 Leduc, Robert 1 Barnes, Jeffrey M. 1 Cantrell, Andy 1 Chakrabarti, Manish 1 Delmas, Elise 1 Dieng, Momar 1 Farina, John 1 Flath, Daniel Evans 1 Harman, Nate 1 Herbig, Kathryn 1 Jacobson, Theodore N. 1 Lee Shader, Chanyoung 1 Lewandowski, Tim 1 Mazzocco, Manuela 1 Miller, Brian J. 1 Poladian, Vahe 1 Reeks, Michael 1 Rus, Teodor 1 Stroomer, Jeffrey D. 1 Thiem, Nathaniel 1 Van Wyk, Eric
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#### Serials

 3 Journal of Algebra 3 Journal of Combinatorial Theory. Series A 3 Journal of Algebraic Combinatorics 2 European Journal of Combinatorics 1 Communications in Algebra 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 Formal Methods in System Design 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Séminaire Lotharingien de Combinatoire 1 Algebraic Combinatorics
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#### Fields

 26 Combinatorics (05-XX) 26 Group theory and generalizations (20-XX) 9 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 2 Number theory (11-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

29 Publications have been cited 347 times in 205 Documents Cited by Year
Partition algebras. Zbl 1112.20010
Halverson, Tom; Ram, Arun
2005
Tensor product representations of general linear groups and their connections with Brauer algebras. Zbl 0815.20028
Benkart, Georgia; Chakrabarti, Manish; Halverson, Thomas; Leduc, Robert; Lee, Chanyoung; Stroomer, Jeffrey
1994
Characters of the centralizer algebras of mixed tensor representations of $$GL(r,\mathbb{C})$$ and the quantum group $${\mathcal U}_ q(gl(r,\mathbb{C}))$$. Zbl 0871.17010
Halverson, Tom
1996
Representations of the $$q$$-rook monoid. Zbl 1072.20006
Halverson, Tom
2004
Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras. Zbl 0856.16038
Halverson, Tom; Ram, Arun
1995
The planar rook algebra and Pascal’s triangle. Zbl 1209.20004
Flath, Daniel; Halverson, Tom; Herbig, Kathryn
2009
Characters of the partition algebras. Zbl 1083.20010
Halverson, Tom
2001
Representations of the rook-Brauer algebra. Zbl 1291.05215
Halverson, Tom; Delmas, Elise
2014
RSK insertion for set partitions and diagram algebras. Zbl 1086.05014
Halverson, Tom; Lewandowski, Tim
2005
Motzkin algebras. Zbl 1284.05333
Benkart, Georgia; Halverson, Tom
2014
Commuting families in Hecke and Temperley-Lieb algebras. Zbl 1217.20002
Halverson, Tom; Mazzocco, Manuela; Ram, Arun
2009
$$q$$-rook monoid algebras, Hecke algebras, and Schur-Weyl duality. Zbl 1142.20300
Halverson, T.; Ram, A.
2001
Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of the complex reflection groups $$G(r,p,n)$$. Zbl 0927.20004
Halverson, Tom; Ram, Arun
1998
Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups. Zbl 1368.05156
Benkart, Georgia; Halverson, Tom; Harman, Nate
2017
Character formulas for $$q$$-rook monoid algebras. Zbl 1019.05065
Dieng, Momar; Halverson, Tom; Poladian, Vahe
2003
Partition algebras and the invariant theory of the symmetric group. Zbl 1421.05094
Benkart, Georgia; Halverson, Tom
2019
Gelfand models for diagram algebras. Zbl 1308.05107
Halverson, Tom; Reeks, Mike
2015
Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type. Zbl 0876.20009
Halverson, Tom; Ram, Arun
1996
McKay centralizer algebras. Zbl 1332.05147
Barnes, Jeffrey M.; Benkart, Georgia; Halverson, Tom
2016
Character orthogonality for the partition algebra and fixed points of permutations. Zbl 1020.05073
Farina, John; Halverson, Tom
2003
Iwahori-Hecke algebras of type $$A$$, bitraces and symmetric functions. Zbl 0879.20005
Halverson, Tom; Leduc, Robert; Ram, Arun
1997
Partition algebras $$\mathsf {P}_k(n)$$ with $$2k>n$$ and the fundamental theorems of invariant theory for the symmetric group $$\mathsf {S}_n$$. Zbl 1411.05274
Benkart, Georgia; Halverson, Tom
2019
Set-partition tableaux and representations of diagram algebras. Zbl 1436.05124
Halverson, Tom; Jacobson, Theodore N.
2020
Set-partition tableaux, symmetric group multiplicities, and partition algebra modules. Zbl 1435.05220
Halverson, Tom
2019
$$q$$-partition algebra combinatorics. Zbl 1237.05211
Halverson, Tom; Thiem, Nathaniel
2010
Generating model checkers from algebraic specifications. Zbl 1017.68070
Rus, Teodor; Van Wyk, Eric; Halverson, Tom
2002
Robinson–Schensted–Knuth insertion and characters of cyclotomic Hecke algebras. Zbl 1016.05071
Cantrell, Andy; Halverson, Tom; Miller, Brian
2002
Bitraces for $$\text{GL}_n(\mathbb{F}_q)$$ and the Iwahori-Hecke algebra of type $$A_{n-1}$$. Zbl 1029.20003
Halverson, Tom; Ram, Arun
1999
A $$q$$-rational Murnaghan-Nakayama rule. Zbl 0826.05055
Halverson, Tom
1995
Set-partition tableaux and representations of diagram algebras. Zbl 1436.05124
Halverson, Tom; Jacobson, Theodore N.
2020
Partition algebras and the invariant theory of the symmetric group. Zbl 1421.05094
Benkart, Georgia; Halverson, Tom
2019
Partition algebras $$\mathsf {P}_k(n)$$ with $$2k>n$$ and the fundamental theorems of invariant theory for the symmetric group $$\mathsf {S}_n$$. Zbl 1411.05274
Benkart, Georgia; Halverson, Tom
2019
Set-partition tableaux, symmetric group multiplicities, and partition algebra modules. Zbl 1435.05220
Halverson, Tom
2019
Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups. Zbl 1368.05156
Benkart, Georgia; Halverson, Tom; Harman, Nate
2017
McKay centralizer algebras. Zbl 1332.05147
Barnes, Jeffrey M.; Benkart, Georgia; Halverson, Tom
2016
Gelfand models for diagram algebras. Zbl 1308.05107
Halverson, Tom; Reeks, Mike
2015
Representations of the rook-Brauer algebra. Zbl 1291.05215
Halverson, Tom; Delmas, Elise
2014
Motzkin algebras. Zbl 1284.05333
Benkart, Georgia; Halverson, Tom
2014
$$q$$-partition algebra combinatorics. Zbl 1237.05211
Halverson, Tom; Thiem, Nathaniel
2010
The planar rook algebra and Pascal’s triangle. Zbl 1209.20004
Flath, Daniel; Halverson, Tom; Herbig, Kathryn
2009
Commuting families in Hecke and Temperley-Lieb algebras. Zbl 1217.20002
Halverson, Tom; Mazzocco, Manuela; Ram, Arun
2009
Partition algebras. Zbl 1112.20010
Halverson, Tom; Ram, Arun
2005
RSK insertion for set partitions and diagram algebras. Zbl 1086.05014
Halverson, Tom; Lewandowski, Tim
2005
Representations of the $$q$$-rook monoid. Zbl 1072.20006
Halverson, Tom
2004
Character formulas for $$q$$-rook monoid algebras. Zbl 1019.05065
Dieng, Momar; Halverson, Tom; Poladian, Vahe
2003
Character orthogonality for the partition algebra and fixed points of permutations. Zbl 1020.05073
Farina, John; Halverson, Tom
2003
Generating model checkers from algebraic specifications. Zbl 1017.68070
Rus, Teodor; Van Wyk, Eric; Halverson, Tom
2002
Robinson–Schensted–Knuth insertion and characters of cyclotomic Hecke algebras. Zbl 1016.05071
Cantrell, Andy; Halverson, Tom; Miller, Brian
2002
Characters of the partition algebras. Zbl 1083.20010
Halverson, Tom
2001
$$q$$-rook monoid algebras, Hecke algebras, and Schur-Weyl duality. Zbl 1142.20300
Halverson, T.; Ram, A.
2001
Bitraces for $$\text{GL}_n(\mathbb{F}_q)$$ and the Iwahori-Hecke algebra of type $$A_{n-1}$$. Zbl 1029.20003
Halverson, Tom; Ram, Arun
1999
Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of the complex reflection groups $$G(r,p,n)$$. Zbl 0927.20004
Halverson, Tom; Ram, Arun
1998
Iwahori-Hecke algebras of type $$A$$, bitraces and symmetric functions. Zbl 0879.20005
Halverson, Tom; Leduc, Robert; Ram, Arun
1997
Characters of the centralizer algebras of mixed tensor representations of $$GL(r,\mathbb{C})$$ and the quantum group $${\mathcal U}_ q(gl(r,\mathbb{C}))$$. Zbl 0871.17010
Halverson, Tom
1996
Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type. Zbl 0876.20009
Halverson, Tom; Ram, Arun
1996
Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras. Zbl 0856.16038
Halverson, Tom; Ram, Arun
1995
A $$q$$-rational Murnaghan-Nakayama rule. Zbl 0826.05055
Halverson, Tom
1995
Tensor product representations of general linear groups and their connections with Brauer algebras. Zbl 0815.20028
Benkart, Georgia; Chakrabarti, Manish; Halverson, Thomas; Leduc, Robert; Lee, Chanyoung; Stroomer, Jeffrey
1994
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#### Cited by 248 Authors

 16 Halverson, Thomas 14 East, James 10 Benkart, Georgia M. 6 Moon, Dongho 5 Doty, Stephen R. 5 Kimura, Yusuke 5 Orellana, Rosa C. 5 Ramgoolam, Sanjaye 5 Stroppel, Catharina H. 4 De Visscher, Maud 4 FitzGerald, Desmond G. 4 Hu, Jun 4 Mazorchuk, Volodymyr 3 Bowman, Christopher David 3 Comes, Jonathan 3 Dolinka, Igor 3 Enyang, John 3 Goodman, Frederick M. 3 Jung, Ji Hye 3 Kennedy, A. Joseph 3 Kudryavtseva, Ganna 3 Martin, Paul Purdon 3 Mitchell, James D. 3 Nikitin, Pavel P. 3 Rockmore, Daniel N. 3 Shalile, Armin 3 Vershik, Anatoliĭ Moiseevich 3 Zabrocki, Mike 2 Bulgakova, D. V. 2 Colmenarejo, Laura 2 Cox, Anton 2 Daugherty, Zajj 2 Dipper, Richard 2 Evangelou, Athanasios 2 FitzGerald, Des 2 Geck, Meinolf 2 Gobet, Thomas 2 Graber, John 2 Gray, Robert D. 2 Guay, Nicolas 2 Ham, Nicholas 2 Horodecki, Michał 2 Hyde, James T. 2 Jacobsen, Jesper Lykke 2 Jones, Vaughan Frederick Randal 2 Kang, Seok-Jin 2 King, Oliver Henry 2 König, Steffen 2 Kosuda, Masashi 2 Lee Shader, Chanyoung 2 Loughlin, Nicholas 2 Malandro, Martin E. 2 Maslen, David Keith 2 Mozrzymas, Marek 2 Orellana, Rosa B. 2 Parvathi, M. R. 2 Paul, Inga 2 Pfeiffer, Götz 2 Ram, Arun 2 Roichman, Yuval 2 Rui, Hebing 2 Saliola, Franco V. 2 Sartori, Antonio 2 Schilling, Anne 2 Semikhatov, Alexei M. 2 Solomon, Louis 2 Stoll, Friederike 2 Studziński, Michał 2 Tange, Rudolf 2 Thiem, Nathaniel 2 Tipunin, Ilya Yu. 2 Werth, Mathias 2 Wilcox, Stewart 2 Wolff, Sarah 2 Xiao, Zhankui 1 Aguiar, Marcelo 1 Andersen, Henning Haahr 1 Araújo, João 1 Ariki, Susumu 1 Auinger, Karl 1 Bai, Ruipu 1 Bai, Ximei 1 Banjo, Elizabeth O. 1 Barnes, Jeffrey M. 1 Belletête, Jonathan 1 Bessenrodt, Christine 1 Bigelow, Stephen J. 1 Binder, Damon J. 1 Bloss, Matthew 1 Bondesan, Roberto 1 Bouc, Serge 1 Brundan, Jonathan 1 Cai, Xuanting 1 Candu, Constantin 1 Canfora, Fabrizio 1 Cantrell, Andy 1 Cautis, Sabin 1 Chen, William Yong-Chuan 1 Chen, Yiping 1 Chern, Bobbie ...and 148 more Authors
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#### Cited in 65 Serials

 36 Journal of Algebra 15 Journal of Algebraic Combinatorics 12 Communications in Algebra 11 Advances in Mathematics 9 Nuclear Physics. B 9 Algebras and Representation Theory 7 Journal of Combinatorial Theory. Series A 7 Journal of Pure and Applied Algebra 7 Transactions of the American Mathematical Society 5 Mathematische Zeitschrift 5 Journal of High Energy Physics 4 International Journal of Algebra and Computation 4 Journal of Knot Theory and its Ramifications 3 Bulletin of the Australian Mathematical Society 3 European Journal of Combinatorics 3 Advances in Applied Mathematics 3 Séminaire Lotharingien de Combinatoire 2 Communications in Mathematical Physics 2 Functional Analysis and its Applications 2 Semigroup Forum 2 Theoretical Computer Science 2 The Journal of Fourier Analysis and Applications 2 Transformation Groups 2 Representation Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Algebraic Combinatorics 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Science in China. Series A 1 Designs, Codes and Cryptography 1 L’Enseignement Mathématique. 2e Série 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebraic Geometry 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Open Systems & Information Dynamics 1 Geometry & Topology 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Frontiers of Mathematics in China 1 Quantum Topology 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Research in the Mathematical Sciences 1 Journal of Combinatorial Algebra 1 PUMP Journal of Undergraduate Research
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#### Cited in 28 Fields

 147 Group theory and generalizations (20-XX) 98 Combinatorics (05-XX) 65 Associative rings and algebras (16-XX) 36 Nonassociative rings and algebras (17-XX) 25 Quantum theory (81-XX) 13 Algebraic geometry (14-XX) 12 Category theory; homological algebra (18-XX) 12 Manifolds and cell complexes (57-XX) 9 Statistical mechanics, structure of matter (82-XX) 5 Number theory (11-XX) 5 Abstract harmonic analysis (43-XX) 5 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General algebraic systems (08-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)