This paper studies quantum invariant differential operators for quantum symmetric spaces in the maximally split case. The main results are quantum versions of theorems of Harish-Chandra and Helgason: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and the ring of invariants of a certain Laurent polynomial ring under an action of the restricted Weyl group. Moreover, the image of the center under this map is the entire invariant ring if and only if the underlying irreducible symmetric pair is not of four exceptional types. In the process, the author finds a particularly nice basis for the quantum invariant differential operators that provides a new interpretation of difference operators associated to Macdonald polynomials.
This paper studies quantum invariant differential operators for quantum symmetric spaces in the maximally split case. The main results are quantum versions of theorems of Harish-Chandra and Helgason: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and the ring of invariants of a certain Laurent polynomial ring under an action of the restricted Weyl group. Moreover, the image of the center under this map is the entire invariant ring if and only if the underlying irreducible symmetric pair is not of four exceptional types. In the process, the author finds a particularly nice basis for the quantum invariant differential operators that provides a new interpretation of difference operators associated to Macdonald polynomials.
What did the Victorians think of Shakespeare? The twelve essays gathered here offer some answers, through close examination of works by leading nineteenth-century novelists, poets and critics including Dickens, Trollope, Eliot, Tennyson, Browning and Ruskin. Shakespeare provided the Victorians with ways of thinking about the authority of the past, about the emergence of a new mass culture, about the relations between artistic and industrial production, about the nature of creativity, about racial and sexual difference, and about individual and national identity.
A final chapter addresses Schillerian intertextuality in the twentieth century, and the survival of Schillerian ideals of freedom and aesthetic education in modern mutations. Foremost among these texts are Anthony Burgess's A Clockwork Orange and Stanley Kubrick's film of that novel."--Jacket.
Hart's study views bourgeois tragedy and related forms of "family" drama as being the enactment of a threat to stability, to bourgeois or domestic order, organized so as to defeat that threat and relieve the anxieties of a middle-class audience.
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