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The Loewy Length of the Descent Algebra of TypeD

โœ Scribed by Franco V. Saliola

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
436 KB
Volume
13
Category
Article
ISSN
1386-923X

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A Multiplication Rule for the Descent Al
A Multiplication Rule for the Descent Algebra of TypeD
โœ Nantel Bergeron; Stephanie van Willigenburg ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 107 KB

Here we give an interpretation of Solomon's rule for multiplication in the descent algebra of Coxeter groups of type D, โŒบ D . We describe an ideal I I such n that โŒบ D rI I is isomorphic to the descent algebra of the hyperoctahedral group, n โŒบ B .