On the structure of Brauer's centralizer algebras
From MaRDI portal
Publication:1109893
DOI10.2307/1971466zbMath0656.20040OpenAlexW1968273868MaRDI QIDQ1109893
Publication date: 1988
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971466
symplectic grouporthogonal groupcentralizer algebrasvector spaceirreducible representationslink invariantstensor powersemisimple quotientsubfactors of von Neumann factors
Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Classifications of (C^*)-algebras (46L35)
Related Items (only showing first 100 items - show all)
Schur–Weyl Dualities Old and New ⋮ Commutators of random matrices from the unitary and orthogonal groups ⋮ Congruence Lattices of Ideals in Categories and (Partial) Semigroups ⋮ Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers ⋮ A modified Brauer algebra as centralizer algebra of the unitary group ⋮ Braids, Link Polynomials and a New Algebra ⋮ Reconstructing braided subcategories of \(SU (N)_k \) ⋮ SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS ⋮ Representation stability for diagram algebras ⋮ Duality of O(N) and Sp(N) random tensor models: tensors with symmetries ⋮ A combinatorial translation principle and diagram combinatorics for the symplectic group ⋮ Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ A combinatorial translation principle and diagram combinatorics for the general linear group ⋮ Identities in twisted Brauer monoids ⋮ Simplicial Endomorphisms ⋮ Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras ⋮ Signed Brauer'ss Algebras are Cellular and Quasi-Hereditary ⋮ The blocks of the Brauer algebra in characteristic zero ⋮ Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality ⋮ Identity of Proofs Based on Normalization and Generality ⋮ Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace ⋮ Signed brauer's algebras ⋮ Characters of the partition algebras. ⋮ Unnamed Item ⋮ Cyclotomic Birman-Murakami-Wenzl algebras. ⋮ Signed brauer's algebras as centralizer algebras ⋮ The Kauffman Polynomials of Generalized Hopf Links ⋮ Centralizer coalgebras, FRT-construction, and symplectic monoids ⋮ Planar diagrams for local invariants of graphs in surfaces ⋮ Gram determinants and semisimplicity criteria for Birman-Wenzl algebras ⋮ Affine Birman–Wenzl–Murakami algebras and tangles in the solid torus ⋮ Some subgroups of symmetric groups determined using signed Brauer diagrams ⋮ The decomposition matrices of the Brauer algebra over the complex field ⋮ Cellular algebras and quasi-hereditary algebras: a comparison ⋮ A NEW PROOF OF THE FAITHFULNESS OF BRAUER'S REPRESENTATION OF TEMPERLEY–LIEB ALGEBRAS ⋮ On Brauer algebra simple modules over the complex field ⋮ New structure for orthogonal quantum group invariants ⋮ The homology of the Brauer algebras ⋮ G-Vertex Colored Partition Algebras as Centralizer Algebras of Direct Products ⋮ The Kauffman skein module of a connected sum of 3-manifolds ⋮ Generality of proofs and its Brauerian representation ⋮ On the semi-simplicity of the cyclotomic Brauer algebras. ⋮ Quotients of representation rings ⋮ On the semisimplicity of the cyclotomic Brauer algebras. II. ⋮ Type \(\widehat{\mathrm C}\) Brauer loop schemes and loop model with boundaries ⋮ Decomposition numbers of cyclotomic NW and BMW algebras. ⋮ Representation theory of towers of recollement: theory, notes, and examples. ⋮ Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality ⋮ Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra ⋮ Traces on diagram algebras. II: Centralizer algebras of easy groups and new variations of the Young graph ⋮ Compact Schur-Weyl duality: real Lie groups and the cyclotomic Brauer algebra ⋮ Representations of the Brauer algebra and Littlewood's restriction rules ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Integration with respect to the Haar measure on unitary, orthogonal and symplectic group ⋮ Cellular algebras ⋮ Compact Schur-Weyl duality and the type B/C VW-algebra ⋮ Constructing cell data for diagram algebras. ⋮ Cellularity of diagram algebras as twisted semigroup algebras. ⋮ Braids inside the Birman-Wenzl-Murakami algebra. ⋮ Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras ⋮ STABILITY PATTERNS IN REPRESENTATION THEORY ⋮ Representations of Brauer category and categorification ⋮ An insertion algorithm on multiset partitions with applications to diagram algebras ⋮ Higher Jones algebras and their simple modules ⋮ Traces on infinite-dimensional Brauer algebras. ⋮ Alcove geometry and a translation principle for the Brauer algebra. ⋮ On the representation theory of an algebra of braids and ties. ⋮ Recollements of self-injective algebras, and classification of self-injective diagram algebras ⋮ The limiting blocks of the Brauer algebra in characteristic \(p\) ⋮ Truncations and extensions of the Brauer-Chen algebra ⋮ Invariants of the half-liberated orthogonal group ⋮ Flat connections and Brauer type algebras. ⋮ Labeling of Sets Under the Actions of $$\overrightarrow{{S}_{n}} $$ and $$\overrightarrow{{A}_{n}}$$ ⋮ An insertion algorithm for diagram algebras ⋮ Self-adjunctions and matrices. ⋮ Coherence for closed categories with biproducts ⋮ On the center of the Brauer algebra. ⋮ The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\) ⋮ On the decomposition of Brauer's centralizer algebras ⋮ Eigenvalues connected with Brauer's centralizer algebras ⋮ Infinitesimal quotients of the braid group. ⋮ Conjugation in Brauer algebras and applications to character theory. ⋮ Cellularity of wreath product algebras and \(A\)-Brauer algebras. ⋮ A characteristic free approach to Brauer algebras ⋮ Generalized knot symmetric algebras ⋮ Cellular structure of \(q\)-Brauer algebras. ⋮ Quantum groups and subfactors of type B, C, and D ⋮ Brauer algebras and centralizer algebras for \(\text{SO}(2n,\mathbb{C})\) ⋮ On the structure of cyclotomic Nazarov-Wenzl algebras. ⋮ Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra. ⋮ Matrix units for centralizer algebras ⋮ Yang-Baxter \(R\)-operators for \(osp\) superalgebras ⋮ On the radical of Brauer algebras. ⋮ Specht filtrations and tensor spaces for the Brauer algebra. ⋮ A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ Fusion procedure for the Brauer algebra ⋮ Cellularity of twisted semigroup algebras. ⋮ Cellular bases for algebras with a Jones basic construction ⋮ Yang-Baxter equations and quantum entanglements
This page was built for publication: On the structure of Brauer's centralizer algebras
