Staggered and affine Kac modules over A1(1) by Jørgen Rasmussen

“…This work concerns the representation theory of the affine Lie algebra A1(1) at fractional level and its links to the representation theory of the Virasoro algebra. …”
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On simple modules with singular highest weights for so2l+1(K) by Sh.Sh. Ibraev, A.Zh. Seitmuratov, L.S. Kainbayeva

“…In the restricted region, the representation theory of algebraic groups and its Lie algebras are equivalent. …”
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Multiplicity formulas for representations of transformation groupoids by Giżycki Artur, Pysiak Leszek

“…We show that the representation theory of a transitive transformation groupoids is closely related to the representation theory of a compact groups.…”
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Distinguished conjugacy classes and elliptic Weyl group elements by Lusztig, George

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On the character of certain irreducible modular representations by Lusztig, George

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Some power series involving involutions in Coxeter groups by Lusztig, George

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Z/m-graded Lie algebras and perverse sheaves, I by Lusztig, George, Yun, Zhiwei

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Relations in Quantized Function Algebras by Etingof, Pavel I, Neshveyev, Sergey

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A new basis for the representation ring of a Weyl group by Lusztig, George

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Coordinate rings and birational charts by Fomin, Sergey, Lusztig, George

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Integrable light-cone lattice discretizations from the universal R-matrix by Meneghelli, C, Teschner, J

“…Considering the affine Toda theories as examples, we show how to construct such lattice regularisations using the representation theory of quantum affine algebras. This requires us to clarify in particular the relations between the light-cone approach to integrable lattice models and the representation theory of quantum affine algebras. …”

An efficient high dimensional quantum Schur transform by Hari Krovi

“…Specifically, we build this transform using the representation theory of the symmetric group and in this sense our technique can be considered a ''dual" algorithm to [5]. …”
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Global symmetry and conformal bootstrap in the two-dimensional $O(n)$ model by Linnea Grans-Samuelsson, Rongvoram Nivesvivat, Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur

“…The number of solutions varies from $2$ to $6$, and saturates the bound from $O(n)$ representation theory in $21$ out of $30$ cases.…”
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Unipotent representations as a categorical centre by Lusztig, George

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Z/m-graded Lie algebras and perverse sheaves, II by Lusztig, George, Yun, Zhiwei

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Hecke modules based on involutions in extended Weyl groups by Lusztig, George

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Symplectic reflection algebras and affine lie algebras by Etingof, Pavel I.

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Irreducible representation of finite metacyclic group of nilpotency class two of order 16 by Samin, Nizar Majeed

“…Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. …”
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Visual Antipriming Effect: Evidence from Chinese Character Identification by Feng Zhang, Amanda J. Fairchild, Xiaoming Li

“…It further provides new evidence for the overlapping representation theory of knowledge, and supports generalizability of the phenomenon to Chinese characters.…”
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Invariant operators, orthogonal bases and correlators in general tensor models by Pablo Diaz, Soo-Jong Rey

“…We study invariant operators in general tensor models. We show that representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry Gd=U(N1)⊗⋯⊗U(Nd). …”
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