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We compute Haar ensemble averages of ratios of random characteristic polynomials for the classical Lie groups K = O(N), SO(N), and USp(N).
Reed, M., Simon, B.: Methods of modern mathematical physics. I: Functional analysis
1972
Earlier work this paper cites.
Berezin, F.A.: Introduction to superanalysis
1987
Earlier work this paper cites.
Howe, R.: The oscillator semigroup, Proc. of Symposia in Pure Mathematics 48
1987
Earlier work this paper cites.
Folland, G.B.: Harmonic analysis on phase space
1989
Earlier work this paper cites.
Howe, R.: Remarks on classical invariant theory, Trans. AMS 313
1989
Earlier work this paper cites.
Berline, N., Getzler, E., Vergne, M.: Heat kernels and Dirac operators
1992
Cited alongside, same era.
Cheng, S.-J., Wang, W.: Howe duality for Lie superalgebras, Compositio Math. 128
2001
Cited alongside, same era.
Cheng, S.-J., Zhang, R.B.: Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras, Advances in Math. 182
2004
Cited alongside, same era.
Conrey, J.B., Forrester, P., Snaith, N.C.: Averages of ratios of characteristic polynomials for the compact classical groups, Int. Math. Res. Notices 7
2005
Cited alongside, same era.
Bump, D., Gamburd, A.: On the averages of characteristic polynomials from classical groups, Commun. Math. Phys. 265
2006
Cited alongside, same era.
Conrey, J.B., Farmer, D.W., Zirnbauer, M.R.: Howe pairs, supersymmetry and ratios of random characteristic polynomials for the unitary group (math-ph/0511024)
Cited in the paper.
Cheng, S.-J., Wang, W.: A Fock space approach to representation theory of 𝔬 𝔰 𝔭 ( 2 | 2 n ) \mathfrak{osp}(2|2n) , Trans. Groups 12
2007
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Kalus, M.: Complex analytic aspects of Lie supergroups, Dissertation of the Ruhr-Universität Bochum, January 2011
2011
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Huckleberry, A. and Kalus, M.: Radial operators on Lie supergroups and characters of representations, J. of Lie Theory 24
2014
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Kalus, M.: On the relation of real and complex Lie supergroups, Canad. Math. Bull. 58 (2015), no. 2, 281Ð284
2015
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