Modular Representations of ${\rm GL}{(n)}$ Distinguished by ${\rm GL}{(n-1)}$ over a $p$-Adic Field

International Mathematics Research Notices ◽

10.1093/imrn/rnw150 ◽

2016 ◽

pp. rnw150 ◽

Cited By ~ 1

Author(s):

Vincent Sécherre ◽

Coolimuttam G. Venketasubramanian

Keyword(s):

Modular Representations

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Modular Representations of Finite Groups of Lie Type

10.1017/cbo9780511525940 ◽

2005 ◽

Cited By ~ 11

Author(s):

James E. Humphreys

Keyword(s):

Finite Groups ◽

Modular Representations ◽

Representations Of Finite Groups ◽

Groups Of Lie Type

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Modular representations of the ortho-symplectic supergroups

Proceedings of the London Mathematical Society ◽

10.1112/plms/pdm040 ◽

2007 ◽

Vol 96 (1) ◽

pp. 251-271 ◽

Cited By ~ 19

Author(s):

Bin Shu ◽

Weiqiang Wang

Keyword(s):

Modular Representations

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Modular Representations and Elementary Abelian Groups

Representations of Elementary Abelian p-Groups and Vector Bundles ◽

10.1017/9781316795699.003 ◽

2017 ◽

pp. 1-37

Author(s):

David J. Benson

Keyword(s):

Abelian Groups ◽

Modular Representations

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Modular Representations of Finite Groups of Lie Type in Non-defining Characteristic

Finite Reductive Groups: Related Structures and Representations ◽

10.1007/978-1-4612-4124-9_8 ◽

1997 ◽

pp. 195-249 ◽

Cited By ~ 5

Author(s):

Meinolf Geck ◽

Gerhard Hiss

Keyword(s):

Finite Groups ◽

Modular Representations ◽

Representations Of Finite Groups ◽

Groups Of Lie Type

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Semiclassical States in Modular Representations

Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory ◽

10.1007/978-3-030-61101-9_7 ◽

2020 ◽

pp. 195-200

Author(s):

Felix Lev

Keyword(s):

Modular Representations ◽

Semiclassical States

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Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux

Journal of the London Mathematical Society ◽

10.1112/jlms/54.1.25 ◽

1996 ◽

Vol 54 (1) ◽

pp. 25-38 ◽

Cited By ~ 43

Author(s):

A. S. Kleshchev

Keyword(s):

Symmetric Groups ◽

Modular Representations ◽

Branching Rules

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On the Number of Indecomposable Modular Representations of a Cyclic p- Group over a Local Ring of Finite Length

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05560-7 ◽

2021 ◽

Vol 258 (4) ◽

pp. 455-465

Author(s):

A. A. Tylyshchak

Keyword(s):

Local Ring ◽

Finite Length ◽

Modular Representations

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On the Modular Representations of the General Linear and Symmetric Groups

Lecture Notes in Mathematics - Proceedings of the Second International Conference on the Theory of Groups ◽

10.1007/978-3-662-21571-5_18 ◽

1974 ◽

pp. 218-220 ◽

Cited By ~ 1

Author(s):

R. W. Carter ◽

G. Lusztig

Keyword(s):

Symmetric Groups ◽

General Linear ◽

Modular Representations

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Modular Representations of Finite Monoids of Lie Type

Semigroups, Formal Languages and Groups ◽

10.1007/978-94-011-0149-3_13 ◽

1995 ◽

pp. 381-390 ◽

Cited By ~ 1

Author(s):

Lex E. Renner

Keyword(s):

Modular Representations ◽

Finite Monoids

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Modular Representations of Cognitive Phenomena in AI, Psychology and Neuroscience

Visions of Mind ◽

10.4018/978-1-59140-482-8.ch004 ◽

2011 ◽

pp. 66-89 ◽

Cited By ~ 5

Author(s):

Joanna J. Bryson

Keyword(s):

Artificial Intelligence ◽

Cognitive Science ◽

Conscious Experience ◽

Modular Representations ◽

Domain Specific ◽

Massive Modularity ◽

Multi Agent ◽

Individual Domain ◽

Behavior Based

Many architectures of mind assume some form of modularity, but what is meant by the term ‘module’? This chapter creates a framework for understanding current modularity research in three subdisciplines of cognitive science: psychology, artificial intelligence (AI), and neuroscience. This framework starts from the distinction between horizontal modules that support all expressed behaviors vs. vertical modules that support individual domain-specific capacities. The framework is used to discuss innateness, automaticity, compositionality, representations, massive modularity, behavior-based and multi-agent AI systems, and correspondence to physiological neurosystems. There is also a brief discussion of the relevance of modularity to conscious experience.

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