Edit Profile (opens in new tab) Halverson, Thomas Co-Author Distance Author ID: halverson.thomas Published as: Halverson, Tom; Halverson, Thomas; Halverson, T. more...less Homepage: https://sites.google.com/macalester.edu/tom-halverson External Links: MGP · Google Scholar Documents Indexed: 36 Publications since 1994, including 2 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 29 Joint Publications 540 Co-Co-Authors all top 5 Co-Authors 6 single-authored 11 Ram, Arun 7 Benkart, Georgia McClure 2 Leduc, Robert 1 Adem, Alejandro 1 Armon, Sam 1 Barcelo, Hélène 1 Barnes, Jeffrey M. 1 Cantrell, Andy 1 Chakrabarti, Manish 1 Charney, Ruth Michele 1 Chen, Yilin 1 Christodoulopoulou, Konstantina 1 DeJong, Jennifer 1 delMas, Elise G. 1 Dieng, Momar 1 Elduque, Alberto 1 Farina, John 1 Farnsteiner, Rolf 1 Flath, Daniel Evans 1 Harman, Nate 1 Herbig, Kathryn 1 Jacobson, Theodore N. 1 Kirkman, Ellen E. 1 Lee Shader, Chanyoung 1 Lewandowski, Tim 1 Mazzocco, Manuela 1 Miller, Brian J. 1 Nakano, Daniel K. 1 Orellana, Rosa C. 1 Pianzola, Arturo 1 Poladian, Vahe 1 Reeks, Michael 1 Shuman, David I. 1 Stroomer, Jeffrey D. 1 Sundaram, Sheila 1 Thiem, Nathaniel 1 Topaz, Chad M. 1 Witherspoon, Sarah J. 1 Zel’manov, Efim Isaakovich 1 Ziegelmeier, Lori all top 5 Serials 3 Journal of Algebra 3 Journal of Combinatorial Theory. Series A 3 Journal of Algebraic Combinatorics 2 European Journal of Combinatorics 2 Notices of the American Mathematical Society 2 The Electronic 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 Journal of Mathematical Sciences (New York) 1 The Journal of Fourier Analysis and Applications 1 Séminaire Lotharingien de Combinatoire 1 Algebraic Combinatorics all top 5 Fields 29 Combinatorics (05-XX) 27 Group theory and generalizations (20-XX) 9 Associative rings and algebras (16-XX) 6 Nonassociative rings and algebras (17-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 481 times in 279 Documents Cited by ▼ Year ▼ Partition algebras. Zbl 1112.20010 Halverson, Tom; Ram, Arun 119 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 59 1994 Motzkin algebras. Zbl 1284.05333 Benkart, Georgia; Halverson, Tom 23 2014 Representations of the \(q\)-rook monoid. Zbl 1072.20006 Halverson, Tom 22 2004 Characters of the partition algebras. Zbl 1083.20010 Halverson, Tom 20 2001 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 20 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 19 1995 Representations of the rook-Brauer algebra. Zbl 1291.05215 Halverson, Tom; Delmas, Elise 18 2014 RSK insertion for set partitions and diagram algebras. Zbl 1086.05014 Halverson, Tom; Lewandowski, Tim 17 2005 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 17 2017 The planar rook algebra and Pascal’s triangle. Zbl 1209.20004 Flath, Daniel; Halverson, Tom; Herbig, Kathryn 16 2009 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 14 1998 Commuting families in Hecke and Temperley-Lieb algebras. Zbl 1217.20002 Halverson, Tom; Mazzocco, Manuela; Ram, Arun 14 2009 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 14 2019 Partition algebras and the invariant theory of the symmetric group. Zbl 1421.05094 Benkart, Georgia; Halverson, Tom 14 2019 \(q\)-rook monoid algebras, Hecke algebras, and Schur-Weyl duality. Zbl 1142.20300 Halverson, T.; Ram, A. 13 2001 Character formulas for \(q\)-rook monoid algebras. Zbl 1019.05065 Dieng, Momar; Halverson, Tom; Poladian, Vahe 9 2003 Set-partition tableaux and representations of diagram algebras. Zbl 1436.05124 Halverson, Tom; Jacobson, Theodore N. 9 2020 Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type. Zbl 0876.20009 Halverson, Tom; Ram, Arun 6 1996 McKay centralizer algebras. Zbl 1332.05147 Barnes, Jeffrey M.; Benkart, Georgia; Halverson, Tom 6 2016 Gelfand models for diagram algebras. Zbl 1308.05107 Halverson, Tom; Reeks, Mike 6 2015 Iwahori-Hecke algebras of type \(A\), bitraces and symmetric functions. Zbl 0879.20005 Halverson, Tom; Leduc, Robert; Ram, Arun 5 1997 \(q\)-partition algebra combinatorics. Zbl 1237.05211 Halverson, Tom; Thiem, Nathaniel 4 2010 Character orthogonality for the partition algebra and fixed points of permutations. Zbl 1020.05073 Farina, John; Halverson, Tom 4 2003 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 3 1999 A \(q\)-rational Murnaghan-Nakayama rule. Zbl 0826.05055 Halverson, Tom 2 1995 Set-partition tableaux, symmetric group multiplicities, and partition algebra modules. Zbl 1435.05220 Halverson, Tom 2 2019 Transition matrices between Young’s natural and seminormal representations. Zbl 1470.05168 Armon, Sam; Halverson, Tom 2 2021 Signal processing on the permutahedron: tight spectral frames for ranked data analysis. Zbl 1471.94009 Chen, Yilin; DeJong, Jennifer; Halverson, Tom; Shuman, David I. 2 2021 Robinson–Schensted–Knuth insertion and characters of cyclotomic Hecke algebras. Zbl 1016.05071 Cantrell, Andy; Halverson, Tom; Miller, Brian 1 2002 McKay centralizer algebras. Zbl 1440.05239 Benkart, Georgia; Halverson, Tom 1 2020 Transition matrices between Young’s natural and seminormal representations. Zbl 1470.05168 Armon, Sam; Halverson, Tom 2 2021 Signal processing on the permutahedron: tight spectral frames for ranked data analysis. Zbl 1471.94009 Chen, Yilin; DeJong, Jennifer; Halverson, Tom; Shuman, David I. 2 2021 Set-partition tableaux and representations of diagram algebras. Zbl 1436.05124 Halverson, Tom; Jacobson, Theodore N. 9 2020 McKay centralizer algebras. Zbl 1440.05239 Benkart, Georgia; Halverson, Tom 1 2020 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 14 2019 Partition algebras and the invariant theory of the symmetric group. Zbl 1421.05094 Benkart, Georgia; Halverson, Tom 14 2019 Set-partition tableaux, symmetric group multiplicities, and partition algebra modules. Zbl 1435.05220 Halverson, Tom 2 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 17 2017 McKay centralizer algebras. Zbl 1332.05147 Barnes, Jeffrey M.; Benkart, Georgia; Halverson, Tom 6 2016 Gelfand models for diagram algebras. Zbl 1308.05107 Halverson, Tom; Reeks, Mike 6 2015 Motzkin algebras. Zbl 1284.05333 Benkart, Georgia; Halverson, Tom 23 2014 Representations of the rook-Brauer algebra. Zbl 1291.05215 Halverson, Tom; Delmas, Elise 18 2014 \(q\)-partition algebra combinatorics. Zbl 1237.05211 Halverson, Tom; Thiem, Nathaniel 4 2010 The planar rook algebra and Pascal’s triangle. Zbl 1209.20004 Flath, Daniel; Halverson, Tom; Herbig, Kathryn 16 2009 Commuting families in Hecke and Temperley-Lieb algebras. Zbl 1217.20002 Halverson, Tom; Mazzocco, Manuela; Ram, Arun 14 2009 Partition algebras. Zbl 1112.20010 Halverson, Tom; Ram, Arun 119 2005 RSK insertion for set partitions and diagram algebras. Zbl 1086.05014 Halverson, Tom; Lewandowski, Tim 17 2005 Representations of the \(q\)-rook monoid. Zbl 1072.20006 Halverson, Tom 22 2004 Character formulas for \(q\)-rook monoid algebras. Zbl 1019.05065 Dieng, Momar; Halverson, Tom; Poladian, Vahe 9 2003 Character orthogonality for the partition algebra and fixed points of permutations. Zbl 1020.05073 Farina, John; Halverson, Tom 4 2003 Robinson–Schensted–Knuth insertion and characters of cyclotomic Hecke algebras. Zbl 1016.05071 Cantrell, Andy; Halverson, Tom; Miller, Brian 1 2002 Characters of the partition algebras. Zbl 1083.20010 Halverson, Tom 20 2001 \(q\)-rook monoid algebras, Hecke algebras, and Schur-Weyl duality. Zbl 1142.20300 Halverson, T.; Ram, A. 13 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 3 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 14 1998 Iwahori-Hecke algebras of type \(A\), bitraces and symmetric functions. Zbl 0879.20005 Halverson, Tom; Leduc, Robert; Ram, Arun 5 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 20 1996 Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type. Zbl 0876.20009 Halverson, Tom; Ram, Arun 6 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 19 1995 A \(q\)-rational Murnaghan-Nakayama rule. Zbl 0826.05055 Halverson, Tom 2 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 59 1994 all cited Publications top 5 cited Publications all top 5 Cited by 315 Authors 22 East, James 18 Halverson, Thomas 11 Benkart, Georgia McClure 10 Orellana, Rosa C. 9 Doty, Stephen R. 7 Mazorchuk, Volodymyr 7 Ramgoolam, Sanjaye 6 Bowman, Christopher David 6 FitzGerald, Desmond G. 6 Moon, Dongho 6 Srivastava, Shraddha 6 Zabrocki, Mike 5 De Visscher, Maud 5 Kimura, Yusuke 5 Ruškuc, Nik 5 Stroppel, Catharina H. 4 Dolinka, Igor 4 Hu, Jun 4 Kennedy, A. Joseph 4 Martin, Paul Purdon 4 Mitchell, James D. 3 Comes, Jonathan 3 Diaconis, Persi Warren 3 Enyang, John 3 Goodman, Frederick M. 3 Gray, Robert D. 3 Gromada, Daniel 3 Jacobsen, Jesper Lykke 3 Jones, Vaughan Frederick Randal 3 Jung, Ji Hye 3 Kudryavtseva, Ganna 3 Mishra, Ashish 3 Nikitin, Pavel P. 3 Ram, Arun 3 Rockmore, Daniel N. 3 Ryba, Christopher 3 Saliola, Franco V. 3 Schilling, Anne 3 Shalile, Armin 3 Si, Mei 3 Vershik, Anatoliĭ Moiseevich 2 Barnes, George R. 2 Belletête, Jonathan 2 Bessenrodt, Christine 2 Bouc, Serge 2 Brundan, Jonathan 2 Campbell, John Maxwell 2 Colmenarejo, Laura 2 Cox, Anton 2 Creedon, Samuel 2 Daugherty, Zajj 2 Dipper, Richard 2 Donkin, Stephen 2 Evangelou, Athanasios 2 Gainutdinov, Azat M. 2 Geck, Meinolf 2 Giannelli, Eugenio 2 Giaquinto, Anthony 2 Gobet, Thomas 2 Graber, John 2 Guay, Nicolas 2 Ham, Nicholas 2 Horodecki, Michał 2 Hyde, James T. 2 Im, Mee Seong 2 Jing, Naihuan 2 Kang, Seok-Jin 2 Kim, Myungho 2 King, Oliver Henry 2 König, Steffen 2 Kosuda, Masashi 2 Laudone, Robert P. 2 Lee Shader, Chanyoung 2 Li, Yanbo 2 Liu, Ning 2 Loughlin, Nicholas 2 Malandro, Martin E. 2 Martin, Stuart 2 Maslen, David Keith 2 Mozrzymas, Marek 2 Padellaro, Adrian 2 Patzt, Peter 2 Paul, Digjoy 2 Paul, Inga 2 Pfeiffer, Götz 2 Roichman, Yuval 2 Rui, Hebing 2 Ryom-Hansen, Steen 2 Saleur, Hubert 2 Sam, Steven V. 2 Sartori, Antonio 2 Semikhatov, Alexei M. 2 Simper, Mackenzie 2 Snowden, Andrew W. 2 Solomon, Louis 2 Stoll, Friederike 2 Studziński, Michał 2 Tange, Rudolf 2 Thévenaz, Jacques 2 Thiem, Nathaniel ...and 215 more Authors all top 5 Cited in 78 Serials 49 Journal of Algebra 16 Journal of Algebraic Combinatorics 14 Communications in Algebra 14 Advances in Mathematics 12 Journal of Pure and Applied Algebra 12 Algebras and Representation Theory 8 Nuclear Physics. B 8 Journal of Combinatorial Theory. Series A 8 Transactions of the American Mathematical Society 6 International Journal of Algebra and Computation 6 Journal of High Energy Physics 6 Algebraic Combinatorics 5 Mathematische Zeitschrift 4 Pacific Journal of Mathematics 4 Semigroup Forum 4 Advances in Applied Mathematics 4 Journal of Knot Theory and its Ramifications 4 The Journal of Fourier Analysis and Applications 4 Transformation Groups 4 Journal of Physics A: Mathematical and Theoretical 3 Bulletin of the Australian Mathematical Society 3 Communications in Mathematical Physics 3 Journal of the London Mathematical Society. Second Series 3 European Journal of Combinatorics 3 Séminaire Lotharingien de Combinatoire 3 Representation Theory 3 Journal of Combinatorial Algebra 2 Functional Analysis and its Applications 2 Memoirs of the American Mathematical Society 2 The Electronic Journal of Combinatorics 2 Selecta Mathematica. New Series 2 Moscow Mathematical Journal 2 Quantum Topology 2 Forum of Mathematics, Sigma 2 Research in the Mathematical Sciences 1 Computer Physics Communications 1 Israel Journal of Mathematics 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 für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Order 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 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 The Australasian Journal of Combinatorics 1 Journal of Algebraic Geometry 1 Applied Categorical Structures 1 Applied and Computational Harmonic Analysis 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 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Involve 1 Kyoto Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Transactions of the American Mathematical Society. Series B 1 PUMP Journal of Undergraduate Research all top 5 Cited in 34 Fields 203 Group theory and generalizations (20-XX) 138 Combinatorics (05-XX) 81 Associative rings and algebras (16-XX) 47 Nonassociative rings and algebras (17-XX) 30 Category theory; homological algebra (18-XX) 28 Quantum theory (81-XX) 15 Manifolds and cell complexes (57-XX) 13 Algebraic geometry (14-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Functional analysis (46-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 5 Abstract harmonic analysis (43-XX) 5 Numerical analysis (65-XX) 5 Information and communication theory, circuits (94-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Commutative algebra (13-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General algebraic systems (08-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-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 General topology (54-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year