Results 11 to 20 of about 14,216 (300)

Ghosts in modular representation theory

open access: yesAdvances in Mathematics, 2008
15 pages, final version, to appear in Advances in Mathematics.
Chebolu, Sunil K.   +2 more
openaire   +3 more sources

The modular representation theory of monoids

open access: yes, 2023
Florian Eisele solved negatively the conjecture from the previous version of this paper, constructing a monoid with nonsingular Cartan matrix in characteristic 0 but singular in positive characteristic.This version cites Eisele's result and raises a new question/conjecture.The title has changed and the focus is more on results of the paper concerning ...
Steinberg, Benjamin
openaire   +3 more sources

Perverse sheaves and modular representation theory

open access: yes, 2008
This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular representation theory. In the first part, we survey results relating singularities in finite and affine Schubert varieties and nilpotent cones to modular representations of reductive groups and their Weyl groups.
Juteau, Daniel   +2 more
openaire   +5 more sources

Modular Representation Theory [PDF]

open access: yes, 2017
A poster introducing group theory and modular representation theory, summarising important ideas and theorems and concluding with an explanation of my research.
Mckernon, Elliot
core   +4 more sources

Antiunitary representations and modular theory [PDF]

open access: yesBanach Center Publications, 2017
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
openaire   +2 more sources

Quantum flux operators for Carrollian diffeomorphism in general dimensions

open access: yesJournal of High Energy Physics, 2023
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
doaj   +1 more source

Phantom Maps and Purity in Modular Representation Theory, II [PDF]

open access: yesAlgebras and Representation Theory, 1999
[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.
openaire   +3 more sources

Decomposing symmetric powers of certain modular representations of cyclic groups [PDF]

open access: yes, 2009
For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p^2.
David L. Wehlau   +3 more
core   +1 more source

Reasoning about modular datatypes with Mendler induction [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
In functional programming, datatypes a la carte provide a convenient modular representation of recursive datatypes, based on their initial algebra semantics.
Paolo Torrini, Tom Schrijvers
doaj   +1 more source

ON THE TRANSFORMATION OF REPRESENTATION OF NUMBERS IN THE RESIDUO FROM ONE MODULE SYSTEM TO ANOTHER

open access: yesNauka ta progres transportu, 2016
Purpose. The purpose of this work is the theoretical foundation of one of the approaches to improve the effectiveness of the number system in nonpositional residual classes non-modular, so-called complex operation, the realization of which requires ...
Yu. D. Polissky
doaj   +1 more source

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