Results 1 to 10 of about 346 (124)
The Rank-One property for free Frobenius extensions
Comptes Rendus. Mathématique, 2023 A conjecture by the second author, proven by Bonnafé–Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one over $\mathbb{Q}$ when restricted to each block of the algebra.In this ...
Bellamy, Gwyn, Thiel, Ulrich
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Cartan invariant matrices for finite monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Let $M$ be a finite monoid. In this paper we describe how the Cartan invariant matrix of the monoid algebra of $M$ over a field $\mathbb{K}$ of characteristic zero can be expressed using characters and some simple combinatorial statistic.
Nicolas M. Thiéry
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Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
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On the Higher Nash Blow-Up Derivation Lie Algebras of Isolated Hypersurface Singularities
Mathematics, 2023 It is a natural question to ask whether there is any Lie algebra that completely characterize simple singularities? The higher Nash blow-up derivation Lie algebras Lkl(V) associated to isolated hypersurface singularities defined to be the Lie algebra of ...
Muhammad Asif +3 more
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Lax pairs for string Newton Cartan geometry
Nuclear Physics B, 2020 In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry.
Dibakar Roychowdhury
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Semiclassical dynamics for torsional Newton-Cartan strings
Nuclear Physics B, 2020 We explore folded spinning string configurations over torsional Newton Cartan (TNC) geometry with R×S2 topology within the semiclassical approximation. We consider the large c and/or nonrelativistic (NR) limit associated with the world-sheet d.o.f.
Dibakar Roychowdhury
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A new class of higher quantum Airy structures as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras
SciPost Physics, 2023 Quantum $r$-Airy structures can be constructed as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras via restriction of twisted modules for the underlying Heisenberg algebra.
Vincent Bouchard, Kieran Mastel
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Aspects of Nonrelativistic Strings
Frontiers in Physics, 2022 We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Gerben Oling, Ziqi Yan
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Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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T-duality in nonrelativistic open string theory
Journal of High Energy Physics, 2021 Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory [1].
Jaume Gomis, Ziqi Yan, Matthew Yu
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