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Hecke algebra

Action of longest element on a Hecke algebra cell module

Action of longest element on a Hecke algebra cell module

... the Hecke algebra of type A (with their canonical bases) can be realized as 0- weight spaces of certain irreducible representations of a quantum group with their canonical ...

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THE AMPLIFICATION METHOD IN THE GL(3) HECKE ALGEBRA

THE AMPLIFICATION METHOD IN THE GL(3) HECKE ALGEBRA

... the Hecke algebra, however, then the generic bound is not expected to be the correct order of magnitude for the sup-norm of the restriction of f to a fixed ...the Hecke operators are additional ...

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Hecke operators in half-integral weight

Hecke operators in half-integral weight

... Abstract. In [6], Shimura introduced modular forms of half- integral weight, their Hecke algebras and their relation to integral weight modular forms via the Shimura correspondence. For mod- ular forms of integral ...

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Explicit Hecke series for symplectic group of genus 4

Explicit Hecke series for symplectic group of genus 4

... of Hecke operators in the section ...the Hecke algebras are given in section ...the Hecke algebra to the symmetric polynomial ring, which is referred by Andrianov and Zhuravlev in [7] as the ...

21

Modular affine Hecke category and regular unipotent centralizer, I

Modular affine Hecke category and regular unipotent centralizer, I

... the Hecke algebra of the affine Weyl group attached to a semisimple algebraic group admits two natural (and useful) geometric realizations: one (due to Iwahori–Matsumoto [ IM ]) in terms of Iwahori- ...

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On the cyclotomic Hecke algebras of complex reflection groups

On the cyclotomic Hecke algebras of complex reflection groups

... tomic Hecke algebra have already been calculated in [33] (along with those of G 32 ), where more criteria for the partition of Irr(W ) into p-blocks are ...generic Hecke algebras are defined over a ...

138

Linear Koszul Duality and affine Hecke algebras

Linear Koszul Duality and affine Hecke algebras

... affine Hecke algebra H aff is a certain involution of H aff which naturally appears in the study of representations of p-adic groups (see ...affine Hecke algebra ...

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Hecke action on the principal block

Hecke action on the principal block

... the Hecke algebra of the affine Weyl group identifies with the Grothendieck group of the category of equivariant coherent sheaves on the Steinberg variety of ...the Hecke category to the category of ...

58

On the sup-norm of SL(3) Hecke-Maass cusp forms

On the sup-norm of SL(3) Hecke-Maass cusp forms

... GL(3) Hecke algebra is given in Section ...some Hecke operators, which are required to make the amplification effective and done in [10], are ...

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Hecke algebras with unequal parameters and Vogan's left cell invariants

Hecke algebras with unequal parameters and Vogan's left cell invariants

... groups, Hecke algebras, Kazhdan–Lusztig cells, MSC 2010: Primary 20C08, Secondary 20F55 ...Iwahori– Hecke algebra and the “new” basis of this algebra introduced by Kazhdan and Lusztig [16], we ...

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Asymptotic Hecke algebras and involutions

Asymptotic Hecke algebras and involutions

... a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group was defined and ...asymptotic Hecke algebra introduced in ...asymptotic Hecke algebra ...

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Assessing Students' Competence in Algebra

Assessing Students' Competence in Algebra

... in algebra Based on this theoretical framework, we have been observing students’ behaviour in mathematical classrooms activities during a long period (all the school year round) and have linked those observations ...

13

Special values of symmetric power $L$-functions and Hecke eigenvalues

Special values of symmetric power $L$-functions and Hecke eigenvalues

... less Hecke eigenvalues in an interval near 2 than in an interval of equal length around ...level) Hecke eigenvalues concentrate near (again in term of the level) ...

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An algebra of Stein operators

An algebra of Stein operators

... The outline of the paper is as follows. In Section 2 we identify the key elements allowing to construct a form of “operator algebra” which provides – by elementary calculations – polynomial operators for X’s which ...

20

Verified Computing in Homological Algebra

Verified Computing in Homological Algebra

... Jonathan Swift, Gulliver’s travels C omputer algebra systems usually consist in rather hard computa- tion. Kenzo – and homological algebra in general – is no exception. However, when it comes down to ...

127

Partition algebra and Kronecker product

Partition algebra and Kronecker product

... partition algebra, representations of the symmetric group 1 Introduction A fundamental problem in the representation theory of the symmetric group is to describe the coeffi- cients in the decomposition of the ...

13

An algebra for branching processes

An algebra for branching processes

... corresponding to a particular marking. Another label e 2 can represent the firing of the same transition with different state of the system (marking). Branching process does not feet with process algebra on ...

11

Special values of symmetric power $L$-functions and Hecke eigenvalues

Special values of symmetric power $L$-functions and Hecke eigenvalues

... less Hecke eigen- values in an interval near 2 than in an interval of equal length around ...level) Hecke eigenvalues concentrate near (again in term of the level) ...

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Syntax and semantics in algebra

Syntax and semantics in algebra

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

13

Grothendieck fibrations and homotopical algebra

Grothendieck fibrations and homotopical algebra

... As mentioned above, we are interested in semifibrations arising from the non-linear situations of algebra. For a model opfibration E → C, the associated fibration E → C is also an opfibration over those maps of C ...

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