46 research outputs found
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On duality inducing automorphisms and sources of simple modules in classical groups
Hecke algebras with unequal parameters and Vogan's left cell invariants
In 1979, Vogan introduced a generalised -invariant for characterising
primitive ideals in enveloping algebras. Via a known dictionary this translates
to an invariant of left cells in the sense of Kazhdan and Lusztig. Although it
is not a complete invariant, it is extremely useful in describing left cells.
Here, we propose a general framework for defining such invariants which also
applies to Hecke algebras with unequal parameters.Comment: 15 pages. arXiv admin note: substantial text overlap with
arXiv:1405.573
On Kazhdan-Lusztig cells in type B
32 pagesWe prove that, for any choice of parameters, the Kazhdan-Lusztig cells of a Weyl group of type are unions of combinatorial cells (defined using the domino insertion algorithm)
Affine cellularity of affine Hecke algebras of rank two
We show that affine Hecke algebras of rank two with generic parameters are
affine cellular in the sense of Koenig-Xi.Comment: 24 pages, 4 figures and 14 tables. New version: added references,
corrected typos. Final versio
Short communication Fatty acid and cholesterol content, chemical composition and sensory evaluation of horsemeat
Abstract This study aimed to determine the fatty acid and chemical composition and cholesterol concentration of horsemeat, and to evaluate its taste acceptability by the Brazilian population. Horsemeat samples (M. longissimus dorsi) were obtained from a Paraná State slaughterhouse. The chemical composition revealed a low lipid (2.9%) and high protein content (22.5%). The concentrations of the nutritionally important fatty acids, arachidonic acid (AA, 20:4n-6) and eicosapentaenoic acid (EPA, 20:5n-3), were 2.97% and 0.43%, respectively. The polyunsaturated fatty acid/saturated fatty acid (PUFA/SFA) ratio was 0.97, which is within the recommended range. The cholesterol concentration of 40.5 mg/100 g is lower than that of other meat such as chicken, beef, mutton and pork. The sensory evaluation revealed excellent acceptability
An analogue of row removal for diagrammatic cherednik algebras
We prove an analogue of James–Donkin row removal theorems for diagrammatic
Cherednik algebras. This is one of the first results concerning the (graded) decomposition numbers
of these algebras over fields of arbitrary characteristic. As a special case, our results yield a new
reduction theorem for graded decomposition numbers and extension groups for cyclotomic q-Schur
algebras
REPRESENTATION THEORY OF MANTACI-REUTENAUER ALGEBRAS
We study some aspects of the representation theory of Mantaci-Reutenaue