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On Modular Homology in the Boolean Algebra, III

โœ Scribed by P.R Jones; I.J Siemons

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
139 KB
Volume
243
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let F be a field of characteristic p, and if is an n-set let M n be the vector space over F with basis 2 . We continue our investigation of modular homological S n -representations which arise from the r-step inclusion map. This is the FS nhomomorphism โˆ‚ r M n โ†’ M n which sends a k-element subset โŠ† onto the sum of all k -r -element subsets of . Using homological methods one can give explicit character and dimension formulae.

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