Results 121 to 130 of about 340,767 (237)
Instanton R-matrix and W $$ \mathcal{W} $$ -symmetry
Journal of High Energy Physics, 2019 We study the relation between W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ algebra and Arbesfeld-Schiffmann Tsymbaliuk Yangian using the Maulik-Okounkov R-matrix. The central object linking these two pictures is the Miura transformation. Using the results of
Tomáš Procházka
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Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs [PDF]
arXiv, 2010 We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type $A$. Moreover, by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part of the quantized universal enveloping algebra of the (Langlands dual) Lie algebra of affine type $A$.
arxiv
3D fermions and affine Yangian
Nuclear Physics B, 2021 2D (dimensional) Boson-Fermion correspondence is a well-known object. In this paper, we define 3D Fermions Γm→ and Γm→⁎ for any vertex m→ and the representation space F, we find that F is isomorphic to the vector space of 3D Young diagrams. Operators Γm→
Na Wang
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A note on the canonical divisor of the generalised affine Stiefel algebraic varieties [PDF]
arXiv, 2014 In this paper we study certain homogeneous spaces, which we call generalised affine Stiefel algebraic varieties. The main aim is to characterise the canonical divisor of generalised affine Stiefel algebraic varieties in terms of group representations. Affine Stiefel algebraic varieties and in particular $S^{n}$ are two special cases of the generalised ...
arxiv
Presenting affine Schur Algebras [PDF]
arXiv, 2015 The universal enveloping algebra ${\mathcal U}({\widehat{\frak{gl}}_n})$ of ${\widehat{\frak{gl}}_n}$ was realized in \cite[Ch. 6]{DDF} using affine Schur algebras. In particular some explicit multiplication formulas in affine Schur algebras were derived. We use these formulas to study the structure of affine Schur algebras.
arxiv
Horizon temperature on the real line
Physics Letters B, 2019 We illustrate the analogue of the Unruh effect for a quantum system on the real line. Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. Our result shows that
Michele Arzano, Jerzy Kowalski-Glikman
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A new 3D representation and compression algorithm for non-rigid moving objects using affine-octree [PDF]
, 2009 Youyou Wang, Guilherme N. De Souza
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Affine.m—Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras [PDF]
, 2012 Anton Nazarov
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Solutions of $x^{q^k}+\cdots+x^{q}+x=a$ in $GF{2^n}$
, 2019 Though it is well known that the roots of any affine polynomial over a finite field can be computed by a system of linear equations by using a normal base of the field, such solving approach appears to be difficult to apply when the field is fairly large.
Choe, Jong Hyok +4 more
core
Affine laminations and coaffine representations
51 pages, 6 figures, Comments welcome!
Bobb, M. D., Farre, James
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