AS
Alistair Savage
math.RTmath.QAmath.RAmath.AGmath.CTmath.MPmath-phcond-mat.str-elhep-thmath.GR
On Valency
published · living versionsW_t88k263c·v1 · currentpublished
Preprints & journals
63 papers in the corpus · 1998–2026Brauer and iquantum categorification2610.25922v1 · Jonathan Brundan, Alistair Savage, Ben Webster2026 · 0 citationsarXivon Valency
A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules2606.23340v1 · Alistair Savage2026 · 0 citationsarXiv
Classifying submodules over monoidal categories2603.18264v1 · Hadi Salmasian, Alistair Savage, Yaolong Shen2026 · 0 citationsarXiv
Isomeric Heisenberg and Kac-Moody categorification I2511.18587v1 · Jonathan Brundan, Alistair Savage2025 · 0 citationsarXiv
An update on Heisenberg and Kac-Moody categorification2508.14378v1 · Jonathan Brundan, Alistair Savage, Ben Webster2025 · 1 citationarXiv
The disoriented skein and iquantum Brauer categories2507.12328v2 · Hadi Salmasian, Alistair Savage, Yaolong Shen2025 · 0 citationsForum of Mathematics, Sigma 14 (2026) e11
The quantum spin Brauer category2504.16618v2 · Peter J. McNamara, Alistair Savage2025 · 0 citationsarXiv
Bubbles in the affine Brauer and Kauffman categories2408.07000v2 · Alistair Savage, Ben Webster2024 · 0 citationsarXiv
The spin Brauer category2312.11766v3 · Peter J. McNamara, Alistair Savage2023 · 1 citationForum of Mathematics, Sigma 12 (2024) e98
Diagrammatics for real supergroups2301.01414v2 · Saima Samchuck-Schnarch, Alistair Savage2023 · 2 citationsAnnals of Representation Theory 1 (2024), no. 2, 125-191
The quantum isomeric supercategory2207.03254v3 · Alistair Savage2022 · 5 citationsJ. Inst. Math. Jussieu 23 (2024) 1077-1124
Quantum diagrammatics for 2204.11976v4 · Alistair Savage, Bruce W. Westbury2022 · 5 citationsJournal of Pure and Applied Algebra 228 (2024), no. 11, 107731
Diagrammatics for 2107.12464v3 · Raj Gandhi, Alistair Savage, Kirill Zainoulline2021 · 2 citationsBulletin of the London Mathematical Society 55 (2023), no. 1, 349-374
Categorification of the elliptic Hall algebra2104.07530v1 · Youssef Mousaaid, Alistair Savage2021 · 1 citationDocumenta Mathematica 27 (2022), 1225-1273
Affine oriented Frobenius Brauer categories2101.04582v2 · Alexandra McSween, Alistair Savage2021 · 3 citationsCommunications in Algebra 51 (2023), no. 2, 742-756
Affinization of monoidal categories2010.13598v2 · Youssef Mousaaid, Alistair Savage2020 · 4 citationsJournal de l'\'Ecole polytechnique - Math\'ematiques 8 (2021), pp. 791-829
Quantum Frobenius Heisenberg categorification2009.06690v1 · Jonathan Brundan, Alistair Savage, Ben Webster2020 · 12 citationsJournal of Pure and Applied Algebra 226 (2022), no. 1, 106792
Frobenius nilHecke algebras2008.07977v2 · Alistair Savage, John Stuart2020 · 3 citationsPacific J. Math. 311 (2021) 455-473
Group partition categories2007.02743v2 · Samuel Nyobe Likeng, Alistair Savage2020 · 3 citationsJournal of Combinatorial Algebra 5 (2021), no. 4, pp. 269-406
Foundations of Frobenius Heisenberg categories2007.01642v3 · Jonathan Brundan, Alistair Savage, Ben Webster2020 · 12 citationsJournal of Algebra 578 (2021), 115-185
Embedding Deligne's category in the Heisenberg category1905.05620v2 · Samuel Nyobe Likeng, Alistair Savage, appendix with Christopher Ryba2019 · 4 citationsQuantum Topology 12 (2021), no. 2, 211-242
Quantum affine wreath algebras1902.00143v2 · Daniele Rosso, Alistair Savage2019 · 10 citationsDocumenta Mathematica 25 (2020), 425-456
On the definition of quantum Heisenberg category1812.04779v3 · Jonathan Brundan, Alistair Savage, Ben Webster2018 · 27 citationsAlg. Number Th. 14 (2020) 275-321
The degenerate Heisenberg category and its Grothendieck ring1812.03255v3 · Jonathan Brundan, Alistair Savage, Ben Webster2018 · 15 citationsAnn. Sci. \'Ec. Norm. Sup\'er. 56 (2023), 1517-1563
String diagrams and categorification1806.06873v2 · Alistair Savage2018 · 0 citationsInteractions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification, Progress in Mathematics 337 (2021), pp. 3-36
Frobenius Heisenberg categorification1802.01626v3 · Alistair Savage2018 · 21 citationsAlgebraic Combinatorics 2 (2019), no. 5, 937-967
Affine wreath product algebras1709.02998v3 · Alistair Savage2017 · 19 citationsInternational Mathematics Research Notices, 2020, no. 10, 2977-3041
Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification1705.03066v2 · Marco Mackaay, Alistair Savage2017 · 23 citationsJournal of Algebra 505 (2018), 150-193
An equivalence between truncations of categorified quantum groups and Heisenberg categories1701.08654v2 · Hoel Queffelec, Alistair Savage, Oded Yacobi2017 · 2 citationsJournal de l'\'Ecole polytechnique - Math\'ematiques, 5 (2018), p. 197-238
A graphical calculus for the Jack inner product on symmetric functions1610.01862v2 · Anthony Licata, Daniele Rosso, Alistair Savage2016 · 11 citationsJournal of Combinatorial Theory, Series A 155 (2018), 503-543
Invariant polynomials on truncated multicurrent algebras1607.06411v3 · Tiago Macedo, Alistair Savage2016 · 10 citationsJournal of Pure and Applied Algebra, 223 (2019), no. 1, 349-368
Nested Frobenius extensions of graded superrings1604.08788v2 · Edward Poon, Alistair Savage2016 · 2 citationsInvolve 11 (2018) 449-461
Twisted Frobenius extensions of graded superrings1502.00590v2 · Jeffrey Pike, Alistair Savage2015 · 10 citationsAlgebras and Representation Theory 19 (2016), no. 1, pp. 113-133
Equivariant map queer Lie superalgebras1412.5098v2 · Lucas Calixto, Adriano Moura, Alistair Savage2014 · 8 citationsCan. J. Math.-J. Can. Math. 68 (2016) 258-279
Towers of graded superalgebras categorify the twisted Heisenberg double1406.0421v2 · Daniele Rosso, Alistair Savage2014 · 8 citationsJournal of Pure and Applied Algebra 219 (2015), no. 11, pp. 5040-5067
Twisted Heisenberg doubles1405.7889v2 · Daniele Rosso, Alistair Savage2014 · 6 citationsCommunications in Mathematical Physics 337 (2015), no. 3, pp. 1053-1076
Introduction to categorification1401.6037v2 · Alistair Savage2014 · 5 citationsarXiv
Categorification and Heisenberg doubles arising from towers of algebras1309.2513v2 · Alistair Savage, Oded Yacobi2013 · 17 citationsJ. Combin. Theory Ser. A 129 (2015), pp. 19-56
Global Weyl modules for equivariant map algebras1303.4437v2 · Ghislain Fourier, Nathan Manning, Alistair Savage2013 · 18 citationsInternational Mathematics Research Notices 2015 (2015), no. 7, pp. 1794-1847
A survey of equivariant map algebras with open problems1211.1024v2 · Erhard Neher, Alistair Savage2012 · 22 citationsRecent developments in algebraic and combinatorial aspects of representation theory (Bangalore, India, 2010 and Riverside, CA, 2012), 165-182, Contemporary Mathematics, 602, Amer. Math. Soc., Providence, RI, 2013
Formal Hecke algebras and algebraic oriented cohomology theories1208.4114v4 · Alex Hoffnung, Jos'e Malag'on-Lopez, Alistair Savage et al.2012 · 35 citationsSelecta Math. 20 (2014), no.4, 1213--1245
Classification of irreducible quasifinite modules over map Virasoro algebras1107.4365v2 · Alistair Savage2011 · 21 citationsTransform. Groups 17 (2012), no. 2, pp. 547--570
A survey of Heisenberg categorification via graphical calculus1104.4789v4 · Anthony Licata, Alistair Savage2011 · 5 citationsBull. Inst. Math. Acad. Sin. (N.S.) 7 (2012), pp. 291--321
Local Weyl modules for equivariant map algebras with free abelian group actions1103.5766v2 · Ghislain Fourier, Tanusree Khandai, Deniz Kus et al.2011 · 36 citationsJ. Algebra 350 (2012), 386--404
Extensions and block decompositions for finite-dimensional representations of equivariant map algebras1103.4367v2 · Erhard Neher, Alistair Savage2011 · 15 citationsTransformation Groups: Volume 20, Issue 1 (2015), Page 183-228
Hecke algebras, finite general linear groups, and Heisenberg categorification1101.0420v4 · Anthony Licata, Alistair Savage2011 · 39 citationsQuantum Topol. 4 (2013), 124-185
Lectures on geometric realizations of crystals1003.5019v1 · Alistair Savage2010 · 0 citationsFields Institute Communications 59, Amer. Math. Soc., Providence, RI, 2011, pp. 45-70
Quiver grassmannians, quiver varieties and the preprojective algebra0909.3746v3 · Alistair Savage, Peter Tingley2009 · 13 citationsPacific J. Math. 251-2 (2011), 393--429
Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves0809.4010v3 · Anthony Licata, Alistair Savage2008 · 12 citationsSelecta Math. 16 (2010), no. 16, 201-240
Braided and coboundary monoidal categories0804.4688v2 · Alistair Savage2008 · 4 citationsAlgebras, representations and applications (Maresias, Brazil, 2007), 229-251, Contemp. Math., 483, Amer. Math. Soc., Providence, RI, 2009.
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