Results 11 to 20 of about 13,576 (266)
LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS [PDF]
AbstractThese notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula and geometric representation theory. They are based on the first author's notes from a lecture series delivered by the second author at the Simons Centre for Geometry ...
Ciappara, Joshua, Williamson, Geordie
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Nonrelativistic Dirac fermions on the torus
Two dimensional conformal field theories have been extensively studied in the past. When considered on the torus, they are strongly constrained by modular invariance. However, introducing relevant deformations or chemical potentials pushes these theories
Jeremías Aguilera-Damia +2 more
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Interpolation in local theory extensions [PDF]
In this paper we study interpolation in local extensions of a base theory. We identify situations in which it is possible to obtain interpolants in a hierarchical manner, by using a prover and a procedure for generating interpolants in the base theory as
Viorica Sofronie-Stokkermans
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The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal
By studying homogeneous polynomials related to groups, the complex index of finite groups is defined.The theory of complex index and its complex representation has been developed and perfected quickly So people began to consider the representation of ...
WANG Hong, QIAN Fangsheng
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Holomorphic modular bootstrap revisited
In this work we revisit the “holomorphic modular bootstrap”, i.e. the classification of rational conformal field theories via an analysis of the modular differential equations satisfied by their characters.
Justin Kaidi +2 more
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On the State Approach Representations of Convolutional Codes over Rings of Modular Integers
In this study, we prove the existence of minimal first-order representations for convolutional codes with the predictable degree property over principal ideal artinian rings.
Ángel Luis Muñoz Castañeda +2 more
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Antiunitary representations and modular theory [PDF]
Antiunitary representations of Lie groups take values in the group of unitary and antiunitary operators on a Hilbert space H. In quantum physics, antiunitary operators implement time inversion or a PCT symmetry, and in the modular theory of operator algebras they arise as modular conjugations from cyclic separating vectors of von Neumann algebras.
Neeb, Karl-Hermann, Olafsson, Gestur
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Quantum flux operators for Carrollian diffeomorphism in general dimensions
We construct Carrollian scalar field theories in general dimensions, mainly focusing on the boundaries of Minkowski and Rindler spacetime, whose quantum flux operators form a faithful representation of Carrollian diffeomorphism up to a central charge ...
Ang Li +3 more
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Phantom Maps and Purity in Modular Representation Theory, II [PDF]
[For part I see Fundam. Math. 161, No. 1-2, 37-91 (1999; Zbl 0944.20004).] The authors produce examples of filtered systems in the stable module category of \(kG\) which do not lift to filtered systems in the module category of \(kG\); here \(kG\) denotes the group algebra of a finite group \(G\) over a field of characteristic \(p>0\).
Benson, D. J., Gnacadja, G. Ph.
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Ghosts in modular representation theory
15 pages, final version, to appear in Advances in Mathematics.
Chebolu, Sunil K. +2 more
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