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Differential Operators And Highest Weight Representations by Davidson%2c Mark G.%2c 1955

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1Differential Operators And Highest Weight Representations

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  • Title: ➤  Differential Operators And Highest Weight Representations
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2Covariant Q-differential Operators And Unitary Highest Weight Representations For U_q Su(n,n)

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We investigate a one-parameter family of quantum Harish-Chandra modules of U_q sl(2n). This family is an analog of the holomorphic discrete series of representations of the group SU(n,n) for the quantum group U_q su(n, n). We introduce a q-analog of "the wave" operator (a determinant-type differential operator) and prove certain covariance property of its powers. This result is applied to the study of some quotients of the above-mentioned quantum Harish-Chandra modules. We also prove an analog of a known result by J.Faraut and A.Koranyi on the expansion of reproducing kernels which determines the analytic continuation of the holomorphic discrete series.

“Covariant Q-differential Operators And Unitary Highest Weight Representations For U_q Su(n,n)” Metadata:

  • Title: ➤  Covariant Q-differential Operators And Unitary Highest Weight Representations For U_q Su(n,n)
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 14.13 Mbs, the file-s for this book were downloaded 107 times, the file-s went public at Sat Sep 21 2013.

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