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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Flag actions and representations of the symplectic group

Miersma, Jonathan 06 1900 (has links)
A flag of a finite dimensional vector space V is a nested sequence of subspaces of V . The symplectic group of V acts on the set of flags of V . We classify the orbits of this action by defining the incidence matrix of a flag of V and show- ing that two flags are in the same orbit precisely when they have the same incidence matrix. We give a formula for the number of orbits of a certain type and discuss how to list the incidence matrices of all orbits. In the case in which V is a vector space over a finite field, we discuss the permutation representations of the symplectic group of V corresponding to these orbits. For the case in which V = (F_q)^4 , we compute the conjugacy classes of the sym- plectic group of V and the values of the characters of the previously discussed permutation representations. / Mathematics
2

Flag actions and representations of the symplectic group

Miersma, Jonathan Unknown Date
No description available.

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