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Schubert calculus and the Hopf algebra structures of exceptional Lie groups
-
Haibao Duan
und
Xuezhi Zhao
Veröffentlicht/Copyright:
4. November 2011
Abstract.
Let G be an exceptional Lie group with a maximal torus T. Based on the
Schubert presentation of the cohomology ring 
of the flag manifold G/T obtained by the authors in a previous paper, we present a unified
approach to the structure of 
as a Hopf algebra
over the Steenrod algebra 
.
Received: 2011-07-10
Revised: 2011-09-28
Published Online: 2011-11-04
Published in Print: 2014-01-01
© 2014 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Pseudovarieties generated by Brauer type monoids
- On some arithmetic properties of Siegel functions (II)
- Perfect vector alignment of the vorticity and the vortex stretching is one forever
- Frobenius groups of automorphisms and their fixed points
- Schubert calculus and the Hopf algebra structures of exceptional Lie groups
- The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs
- Periodicity in the stable representation theory of crystallographic groups
- Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions
- The rational classification of links of codimension > 2
- On the classifying space for proper actions of groups with cyclic torsion
- Turán determinants of Bessel functions
