scholarly journals Specht modules decompose as alternating sums of restrictions of Schur modules

2019 ◽  
Vol 148 (3) ◽  
pp. 1015-1029
Author(s):  
Sami H. Assaf ◽  
David E. Speyer
Keyword(s):  
Specht Modules ◽  
Alternating Sums

scholarly journals Factors of alternating sums of powers of q -Narayana numbers

2017 ◽  
Vol 177 ◽  
pp. 37-42 ◽  
Author(s):  
Victor J.W. Guo ◽  
Qiang-Qiang Jiang
Keyword(s):  
Sums Of Powers ◽  
Alternating Sums ◽  
Narayana Numbers

scholarly journals ON MATRIX KP AND SUPER-KP HIERARCHIES IN THE HOMOGENEOUS GRADING

1996 ◽  
Vol 11 (18) ◽  
pp. 3257-3295 ◽  
Author(s):  
F. TOPPAN
Keyword(s):  
Power Series ◽  
Symmetric Spaces ◽  
Unexpected Result ◽  
Hermitian Symmetric Spaces ◽  
Regular Elements ◽  
Symmetry Properties ◽  
Alternating Sums ◽  
Spectral Parameter Power Series ◽  
Special Limit ◽  
Free Parameters

Constrained KP and super-KP hierarchies of integrable equations (generalized NLS hierarchies) are systematically produced through a Lie-algebraic AKS matrix framework associated with the homogeneous grading. The role played by different regular elements in defining the corresponding hierarchies is analyzed, as well as the symmetry properties under the Weyl group transformations. The coset structure of higher order Hamiltonian densities is proven. For a generic Lie algebra the hierarchies considered here are integrable and essentially dependent on continuous free parameters. The bosonic hierarchies studied in Refs. 1 and 2 are obtained as special limit restrictions on Hermitian symmetric spaces. In the supersymmetric case the homogeneous grading is introduced consistently by using alternating sums of bosons and fermions in the spectral parameter power series. The bosonic hierarchies obtained from [Formula: see text] and the supersymmetric ones derived from the N=1 affinization of sl (2), sl (3) and osp (1|2) are explicitly constructed. An unexpected result is found: only a restricted subclass of the sl (3) bosonic hierarchies can be supersymmetrically extended while preserving integrability.

Some irreducible specht modules

1978 ◽  
pp. 89-97
Author(s):  
G. D. James
Keyword(s):  
Specht Modules

scholarly journals Some Computations Between Sums of Powers of Consecutive Integers and Alternating Sums of Powers of Consecutive Integers

2019 ◽  
Vol 2 (2) ◽  
pp. 137-143
Author(s):  
Uğur Duran ◽  
Mehmet Acikgoz
Keyword(s):  
Sums Of Powers ◽  
Alternating Sums ◽  
Consecutive Integers

scholarly journals The $Z$-Polynomial of a Matroid

10.37236/7105 ◽  
2018 ◽  
Vol 25 (1) ◽  
Author(s):  
Nicholas Proudfoot ◽  
Yuan Xu ◽  
Ben Young
Keyword(s):  
Closed Formula ◽  
Poincaré Duality ◽  
Poincare Duality ◽  
Whitney Numbers ◽  
Alternating Sums ◽  
Cohomological Interpretation

We introduce the $Z$-polynomial of a matroid, which we define in terms of the Kazhdan-Lusztig polynomial. We then exploit a symmetry of the $Z$-polynomial to derive a new recursion for Kazhdan-Lusztig coefficients. We solve this recursion, obtaining a closed formula for Kazhdan-Lusztig coefficients as alternating sums of multi-indexed Whitney numbers. For realizable matroids, we give a cohomological interpretation of the $Z$-polynomial in which the symmetry is a manifestation of Poincaré duality.

scholarly journals Almost Alternating Sums

2006 ◽  
Vol 113 (8) ◽  
pp. 673 ◽  
Author(s):  
Kevin O'Bryant ◽  
Bruce Reznick ◽  
Monika Serbinowska
Keyword(s):  
Alternating Sums

Multiplication formulas for Apostol-type polynomials and multiple alternating sums

2012 ◽  
Vol 91 (1-2) ◽  
pp. 46-57 ◽  
Author(s):  
Qiu-Ming Luo
Keyword(s):  
Alternating Sums

8 Certain alternating sums of operators

2003 ◽  
pp. 105-121
Author(s):  
Fumio Hiai ◽  
Hideki Kosaki
Keyword(s):  
Alternating Sums

The Specht modules

2002 ◽  
pp. 37-41
Author(s):  
David Goldschmidt
Keyword(s):  
Specht Modules
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