Modular representation theory and commutative Banach algebras (Q6605395)

scientific article; zbMATH DE number 7913524

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English	Modular representation theory and commutative Banach algebras	scientific article; zbMATH DE number 7913524

Statements

instance of

scholarly article

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title

Modular representation theory and commutative Banach algebras (English)

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author

David J. Benson

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publication date

13 September 2024

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zbMATH Keywords

modular representation theory

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representation ring

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Green ring

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tensor product

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commutative Banach algebra

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spectral radius

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Representations of Z/pZ in characteristic p and reciprocity theorems

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Q4161819

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On table algebras and applications to finite group theory

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On certain quotients of the Green rings of dihedral 2-groups.

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Almost-split sequences and group rings

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Lambda and psi operations on Green rings

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Q3720784

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Q3997902

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Some conjectures and their consequences for tensor products of modules over a finite \(p\)-group

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Nilpotent elements in the Green ring

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The Green ring of a finite group

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The non‐projective part of the tensor powers of a module

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Q4049588

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Q4155052

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Solvable groups and algebraic modules

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Representation type of finite groups

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Relative cohomology of finite groups and polynomial growth

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FREE LIE ALGEBRAS AND ADAMS OPERATIONS

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Adams operations on the Green ring of a cyclic group of prime-power order

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Periodicity of Adams operations on the Green ring of a finite group

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Dimensions of modules and their restrictions over modular group algebras

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Q4896043

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The Green rings of Taft algebras

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Projectivity and relative projectivity over group rings

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A quiver quantum group

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Certain representation algebras

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The modular representation algebra of groups with Sylow 2-subgroup Z2 × Z2

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Q4402191

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Algebraic modules and the Auslander-Reiten quiver.

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On tensor products of simple modules for simple groups.

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Functorial Filtrations III: Semidihedral Algebras

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Endo-permutation modules over p-groups. I

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Endo-permutation modules over p-groups. II

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On tilting modules for algebraic groups

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A characterisation of solvable groups

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Tensor Categories

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Permutation modules, \(p\)-permutation modules and Conlon species

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Q3894099

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Q3955560

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On the distribution of roots of algebraic equations with integral coefficients

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A Course in Abstract Harmonic Analysis

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Complements of Runge domains and holomorphic hulls

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Maps between representations of clans

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Normierte Ringe.

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Minimal polynomials of Young permutation modules and idempotents

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Cellular algebras

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The modular representation algebra of a finite group

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Tabular algebras and their asymptotic versions.

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The species and idempotents of the Green algebra of a finite group with a cyclic Sylow subgroup.

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The Integral Representation Ring a(R k G)

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Nilpotent elements of order \(3\) in the Green ring of the dihedral-\(2\)- groups

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Representations of cyclic groups in rings of integers. I

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Representations of cyclic groups in rings of integers. II

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Galois coverings and the Clebsch–Gordan problem for quiver representations

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Solution to the Clebsch-Gordan problem for string algebras.

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The Green rings of pointed tensor categories of finite type

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Q4346902

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Species of the projective Green rings.

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Q3413656

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Nilpotent elements in integral representation rings of Hopf-algebra orders in group algebras of prime order

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A Course in Commutative Banach Algebras

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Q4784966

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Q3797375

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A theorem on Green's modular representation ring

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Relative Grothendieck groups

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Q4531961

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Integral Representations of Dihedral Groups of Order 2p

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The Green rings of the generalized Taft Hopf algebras

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Q3804915

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Left and right inverses in group algebras

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Q4274976

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\(\lambda\)-ring structure of the Green ring of a cyclic \(p\)-group.

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Symmetric powers of the \(p+1\)-dimensional indecomposable module of a cyclic \(p\)-group and the \(\lambda\)-structure of its Green ring.

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On the Modular Representation Algebra Metacyclic Groups

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On the semisimplicity of the modular representation algebra of a finite group

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Q4145843

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On a coradical of a finite-dimensional Hopf algebra

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The integral representation ring of a finite group

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Integral Representation Algebras

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Nilpotent Elements in Rings of Integral Representations

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The decomposition of products in the modular representation ring of a cyclic group of prime power order

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Q3272732

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The indecomposable representations of the dihedral 2-groups

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Q4054161

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Q3272519

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The representation ring of a compact Lie group

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Symmetry in complex involutory Banach algebras

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Symmetry of complex involutory Banach algebras. II

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The Modular Representation Ring of a Cyclic p -Group

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Polynomial convexity

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The Order of the Antipode of Finite-dimensional Hopf Algebra

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The theory of functions. 2. ed.

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The Benson-Symonds invariant for ordinary and signed permutation modules

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On the orthogonality coefficients for character tables of the Green ring of a finite group

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Complexes, group cohomology, and an induction theorem for the Green ring

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The representation ring of the quantum double of a finite group

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Nilpotent elements in Green rings of a class of pointed tensor categories of finite type

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Nilpotent elements in representation rings over fields of characteristic 2

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published in

Memoirs of the American Mathematical Society

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Identifiers

DOI

10.1090/memo/1488

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6605395