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Cubic metaplectic forms and theta functions / Nikolai Proskurin
Cubic metaplectic forms and theta functions / Nikolai Proskurin
Autore Proskurin, Nikolai
Pubbl/distr/stampa Berlin : Springer-Verlag, c1998
Descrizione fisica vii, 196 p. ; 24 cm.
Disciplina 512.7
Collana Lecture notes in mathematics, 0075-8434 ; 1677
Soggetto topico Automorphic forms
Discontinuous groups
Theta functions
ISBN 3540637516
Classificazione AMS 11F55
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000801909707536
Proskurin, Nikolai  
Berlin : Springer-Verlag, c1998
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Deformation theory and local-global compatibility of Langlands correspondences / / Martin Luu
Deformation theory and local-global compatibility of Langlands correspondences / / Martin Luu
Autore Luu Martin T. <1983->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (107 pages)
Disciplina 512/.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Local fields (Algebra)
Representations of groups
Automorphic forms
Galois theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-2609-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480013703321
Luu Martin T. <1983->  
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Deformation theory and local-global compatibility of Langlands correspondences / / Martin Luu
Deformation theory and local-global compatibility of Langlands correspondences / / Martin Luu
Autore Luu Martin T. <1983->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (107 pages)
Disciplina 512/.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Local fields (Algebra)
Representations of groups
Automorphic forms
Galois theory
ISBN 1-4704-2609-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910798788903321
Luu Martin T. <1983->  
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Deformation theory and local-global compatibility of Langlands correspondences / / Martin Luu
Deformation theory and local-global compatibility of Langlands correspondences / / Martin Luu
Autore Luu Martin T. <1983->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (107 pages)
Disciplina 512/.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Local fields (Algebra)
Representations of groups
Automorphic forms
Galois theory
ISBN 1-4704-2609-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910828388303321
Luu Martin T. <1983->  
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The descent map from automorphic representations of GL(n) to classical groups [[electronic resource] /] / David Ginzburg, Stephen Rallis, David Soudry
The descent map from automorphic representations of GL(n) to classical groups [[electronic resource] /] / David Ginzburg, Stephen Rallis, David Soudry
Autore Ginzburg D (David)
Pubbl/distr/stampa Singapore, : World Scientific Pub., c2011
Descrizione fisica 1 online resource (350 p.)
Disciplina 512.73
515.9
Altri autori (Persone) RallisStephen
SoudryDavid
Soggetto topico L-functions
Automorphic forms
Representations of groups
Soggetto genere / forma Electronic books.
ISBN 1-283-43339-7
9786613433398
981-4304-99-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Introduction; 1.1 Overview; 1.2 Formulas for the Weil representation; 1.3 The case, where H is unitary and the place v splits in E; 2. On Certain Residual Representations; 2.1 The groups; 2.2 The Eisenstein series to be considered; 2.3 L-groups and representations related to P; 2.4 The residue representation; 2.5 The case of a maximal parabolic subgroup (r = 1); 2.6 A preliminary lemma on Eisenstein series on GLn; 2.7 Constant terms of E(h, f , ); 2.8 Description of W(M ,D ); 2.9 Continuation of the proof of Theorem 2.1
3. Coefficients of Gelfand-Graev Type, of Fourier-Jacobi Type, and Descent3.1 Gelfand-Graev coefficients; 3.2 Fourier-Jacobi coefficients; 3.3 Nilpotent orbits; 3.4 Global integrals representing L-functions I; 3.5 Global integrals representing L-functions II; 3.6 Definition of the descent; 3.7 Definition of Jacquet modules corresponding to Gelfand-Graev characters; 3.8 Definition of Jacquet modules corresponding to Fourier-Jacobi characters; 4. Some double coset decompositions; 4.1 The space Q \h (V ) /Q; 1. The case where K is a field; 2. The case where K = k k
4.2 A set of representatives for Q \h(V ) /Q1. The case where K is a field and h(Vk) is not even orthogonal and split; 2. The case where h(Vk) is even orthogonal and split; 3. The case K = k k; 4.3 Stabilizers; 1. The case where K is a field and h(V ) is not even orthogonal and split; 2. The case where h(V ) is even orthogonal and split; 3. The case K = k k; 4.4 The set Q\h(W , ) /L ,; 1. The case where K is a field and w is anisotropic; 2. The case where K = k k (and w - anisotropic); 5. Jacquet modules of parabolic inductions: Gelfand-Graev characters
5.1 The case where K is a field5.2 The case K = k k; 6. Jacquet modules of parabolic inductions: Fourier-Jacobi characters; 6.1 The case where K is a field; 6.2 The case K = k k; 7. The tower property; 7.1 A general lemma on "exchanging roots"; 7.2 A formula for constant terms of Gelfand-Graev coefficients; 7.3 Global Gelfand-Graev models for cuspidal representations; 7.4 The general case: H is neither split nor quasi-split; 7.5 Global Gelfand-Graev models for the residual representations E; 7.6 A formula for constant terms of Fourier-Jacobi coefficients
7.7 Global Fourier-Jacobi models for cuspidal representations7.8 Global Fourier-Jacobi models for the residual representations E; 8. Non-vanishing of the descent I; 8.1 The Fourier coefficient corresponding to the partition (m,m,m' - 2m); 8.2 Conjugation of Sm by the element α; 8.3 Exchanging the roots y , and x , (dim V = 2m , m > 2); 8.4 First induction step: exchanging the roots y and x , , for 1 i j [m+1 ]; dim V = 2m; 8.5 First induction step: odd orthogonal groups; 8.6 Second induction step: exchanging the roots y and x , , for i + j m+ 1, j > [m+1 ] (dim V = 2m)
8.7 Completion of the proof of Theorems 8.1, 8.2
Record Nr. UNINA-9910457559303321
Ginzburg D (David)  
Singapore, : World Scientific Pub., c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The descent map from automorphic representations of GL(n) to classical groups [[electronic resource] /] / David Ginzburg, Stephen Rallis, David Soudry
The descent map from automorphic representations of GL(n) to classical groups [[electronic resource] /] / David Ginzburg, Stephen Rallis, David Soudry
Autore Ginzburg D (David)
Pubbl/distr/stampa Singapore, : World Scientific Pub., c2011
Descrizione fisica 1 online resource (350 p.)
Disciplina 512.73
515.9
Altri autori (Persone) RallisStephen
SoudryDavid
Soggetto topico L-functions
Automorphic forms
Representations of groups
ISBN 1-283-43339-7
9786613433398
981-4304-99-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Introduction; 1.1 Overview; 1.2 Formulas for the Weil representation; 1.3 The case, where H is unitary and the place v splits in E; 2. On Certain Residual Representations; 2.1 The groups; 2.2 The Eisenstein series to be considered; 2.3 L-groups and representations related to P; 2.4 The residue representation; 2.5 The case of a maximal parabolic subgroup (r = 1); 2.6 A preliminary lemma on Eisenstein series on GLn; 2.7 Constant terms of E(h, f , ); 2.8 Description of W(M ,D ); 2.9 Continuation of the proof of Theorem 2.1
3. Coefficients of Gelfand-Graev Type, of Fourier-Jacobi Type, and Descent3.1 Gelfand-Graev coefficients; 3.2 Fourier-Jacobi coefficients; 3.3 Nilpotent orbits; 3.4 Global integrals representing L-functions I; 3.5 Global integrals representing L-functions II; 3.6 Definition of the descent; 3.7 Definition of Jacquet modules corresponding to Gelfand-Graev characters; 3.8 Definition of Jacquet modules corresponding to Fourier-Jacobi characters; 4. Some double coset decompositions; 4.1 The space Q \h (V ) /Q; 1. The case where K is a field; 2. The case where K = k k
4.2 A set of representatives for Q \h(V ) /Q1. The case where K is a field and h(Vk) is not even orthogonal and split; 2. The case where h(Vk) is even orthogonal and split; 3. The case K = k k; 4.3 Stabilizers; 1. The case where K is a field and h(V ) is not even orthogonal and split; 2. The case where h(V ) is even orthogonal and split; 3. The case K = k k; 4.4 The set Q\h(W , ) /L ,; 1. The case where K is a field and w is anisotropic; 2. The case where K = k k (and w - anisotropic); 5. Jacquet modules of parabolic inductions: Gelfand-Graev characters
5.1 The case where K is a field5.2 The case K = k k; 6. Jacquet modules of parabolic inductions: Fourier-Jacobi characters; 6.1 The case where K is a field; 6.2 The case K = k k; 7. The tower property; 7.1 A general lemma on "exchanging roots"; 7.2 A formula for constant terms of Gelfand-Graev coefficients; 7.3 Global Gelfand-Graev models for cuspidal representations; 7.4 The general case: H is neither split nor quasi-split; 7.5 Global Gelfand-Graev models for the residual representations E; 7.6 A formula for constant terms of Fourier-Jacobi coefficients
7.7 Global Fourier-Jacobi models for cuspidal representations7.8 Global Fourier-Jacobi models for the residual representations E; 8. Non-vanishing of the descent I; 8.1 The Fourier coefficient corresponding to the partition (m,m,m' - 2m); 8.2 Conjugation of Sm by the element α; 8.3 Exchanging the roots y , and x , (dim V = 2m , m > 2); 8.4 First induction step: exchanging the roots y and x , , for 1 i j [m+1 ]; dim V = 2m; 8.5 First induction step: odd orthogonal groups; 8.6 Second induction step: exchanging the roots y and x , , for i + j m+ 1, j > [m+1 ] (dim V = 2m)
8.7 Completion of the proof of Theorems 8.1, 8.2
Record Nr. UNINA-9910778817603321
Ginzburg D (David)  
Singapore, : World Scientific Pub., c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The descent map from automorphic representations of GL(n) to classical groups [[electronic resource] /] / David Ginzburg, Stephen Rallis, David Soudry
The descent map from automorphic representations of GL(n) to classical groups [[electronic resource] /] / David Ginzburg, Stephen Rallis, David Soudry
Autore Ginzburg D (David)
Pubbl/distr/stampa Singapore, : World Scientific Pub., c2011
Descrizione fisica 1 online resource (350 p.)
Disciplina 512.73
515.9
Altri autori (Persone) RallisStephen
SoudryDavid
Soggetto topico L-functions
Automorphic forms
Representations of groups
ISBN 1-283-43339-7
9786613433398
981-4304-99-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Introduction; 1.1 Overview; 1.2 Formulas for the Weil representation; 1.3 The case, where H is unitary and the place v splits in E; 2. On Certain Residual Representations; 2.1 The groups; 2.2 The Eisenstein series to be considered; 2.3 L-groups and representations related to P; 2.4 The residue representation; 2.5 The case of a maximal parabolic subgroup (r = 1); 2.6 A preliminary lemma on Eisenstein series on GLn; 2.7 Constant terms of E(h, f , ); 2.8 Description of W(M ,D ); 2.9 Continuation of the proof of Theorem 2.1
3. Coefficients of Gelfand-Graev Type, of Fourier-Jacobi Type, and Descent3.1 Gelfand-Graev coefficients; 3.2 Fourier-Jacobi coefficients; 3.3 Nilpotent orbits; 3.4 Global integrals representing L-functions I; 3.5 Global integrals representing L-functions II; 3.6 Definition of the descent; 3.7 Definition of Jacquet modules corresponding to Gelfand-Graev characters; 3.8 Definition of Jacquet modules corresponding to Fourier-Jacobi characters; 4. Some double coset decompositions; 4.1 The space Q \h (V ) /Q; 1. The case where K is a field; 2. The case where K = k k
4.2 A set of representatives for Q \h(V ) /Q1. The case where K is a field and h(Vk) is not even orthogonal and split; 2. The case where h(Vk) is even orthogonal and split; 3. The case K = k k; 4.3 Stabilizers; 1. The case where K is a field and h(V ) is not even orthogonal and split; 2. The case where h(V ) is even orthogonal and split; 3. The case K = k k; 4.4 The set Q\h(W , ) /L ,; 1. The case where K is a field and w is anisotropic; 2. The case where K = k k (and w - anisotropic); 5. Jacquet modules of parabolic inductions: Gelfand-Graev characters
5.1 The case where K is a field5.2 The case K = k k; 6. Jacquet modules of parabolic inductions: Fourier-Jacobi characters; 6.1 The case where K is a field; 6.2 The case K = k k; 7. The tower property; 7.1 A general lemma on "exchanging roots"; 7.2 A formula for constant terms of Gelfand-Graev coefficients; 7.3 Global Gelfand-Graev models for cuspidal representations; 7.4 The general case: H is neither split nor quasi-split; 7.5 Global Gelfand-Graev models for the residual representations E; 7.6 A formula for constant terms of Fourier-Jacobi coefficients
7.7 Global Fourier-Jacobi models for cuspidal representations7.8 Global Fourier-Jacobi models for the residual representations E; 8. Non-vanishing of the descent I; 8.1 The Fourier coefficient corresponding to the partition (m,m,m' - 2m); 8.2 Conjugation of Sm by the element α; 8.3 Exchanging the roots y , and x , (dim V = 2m , m > 2); 8.4 First induction step: exchanging the roots y and x , , for 1 i j [m+1 ]; dim V = 2m; 8.5 First induction step: odd orthogonal groups; 8.6 Second induction step: exchanging the roots y and x , , for i + j m+ 1, j > [m+1 ] (dim V = 2m)
8.7 Completion of the proof of Theorems 8.1, 8.2
Record Nr. UNINA-9910820948003321
Ginzburg D (David)  
Singapore, : World Scientific Pub., c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The dimension of spaces of automorphic forms on a certain two-dimensional complex domain / / Leslie Cohn
The dimension of spaces of automorphic forms on a certain two-dimensional complex domain / / Leslie Cohn
Autore Cohn Leslie
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1975]
Descrizione fisica 1 online resource (104 p.)
Collana Memoirs of the American Mathematical Society
Soggetto topico Automorphic forms
Soggetto genere / forma Electronic books.
ISBN 1-4704-0544-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. SELBERG'S DIMENSION FORMULA""; ""CHAPTER II. REDUCTION THEORY AND CONVERGENCE LEMMAS""; ""CHAPTER III. CLASSIFICATION ON CONJUGACY CLASSES IN G""; ""CHAPTER IV. PARABOLIC CONJUGACY CLASSES""; ""CHAPTER V. HYPERLLIPTIC CONJUGACY CLASSES""; ""CHAPTER VI. HYPERBOLIC CONJUGACY CLASSES""; ""CHAPTER VII. ELLIPTIC CONJUGACY CLASSES""; ""CHAPTER VIII. THE VOLUME OF THE FUNDAMENTAL DOMAIN""; ""CHAPTER IX. CONCLUSION""; ""REFERENCES""
Record Nr. UNINA-9910480606903321
Cohn Leslie  
Providence, Rhode Island : , : American Mathematical Society, , [1975]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The dimension of spaces of automorphic forms on a certain two-dimensional complex domain / / Leslie Cohn
The dimension of spaces of automorphic forms on a certain two-dimensional complex domain / / Leslie Cohn
Autore Cohn Leslie
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1975]
Descrizione fisica 1 online resource (104 p.)
Collana Memoirs of the American Mathematical Society
Soggetto topico Automorphic forms
ISBN 1-4704-0544-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. SELBERG'S DIMENSION FORMULA""; ""CHAPTER II. REDUCTION THEORY AND CONVERGENCE LEMMAS""; ""CHAPTER III. CLASSIFICATION ON CONJUGACY CLASSES IN G""; ""CHAPTER IV. PARABOLIC CONJUGACY CLASSES""; ""CHAPTER V. HYPERLLIPTIC CONJUGACY CLASSES""; ""CHAPTER VI. HYPERBOLIC CONJUGACY CLASSES""; ""CHAPTER VII. ELLIPTIC CONJUGACY CLASSES""; ""CHAPTER VIII. THE VOLUME OF THE FUNDAMENTAL DOMAIN""; ""CHAPTER IX. CONCLUSION""; ""REFERENCES""
Record Nr. UNINA-9910788605903321
Cohn Leslie  
Providence, Rhode Island : , : American Mathematical Society, , [1975]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The dimension of spaces of automorphic forms on a certain two-dimensional complex domain / / Leslie Cohn
The dimension of spaces of automorphic forms on a certain two-dimensional complex domain / / Leslie Cohn
Autore Cohn Leslie
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1975]
Descrizione fisica 1 online resource (104 p.)
Collana Memoirs of the American Mathematical Society
Soggetto topico Automorphic forms
ISBN 1-4704-0544-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. SELBERG'S DIMENSION FORMULA""; ""CHAPTER II. REDUCTION THEORY AND CONVERGENCE LEMMAS""; ""CHAPTER III. CLASSIFICATION ON CONJUGACY CLASSES IN G""; ""CHAPTER IV. PARABOLIC CONJUGACY CLASSES""; ""CHAPTER V. HYPERLLIPTIC CONJUGACY CLASSES""; ""CHAPTER VI. HYPERBOLIC CONJUGACY CLASSES""; ""CHAPTER VII. ELLIPTIC CONJUGACY CLASSES""; ""CHAPTER VIII. THE VOLUME OF THE FUNDAMENTAL DOMAIN""; ""CHAPTER IX. CONCLUSION""; ""REFERENCES""
Record Nr. UNINA-9910812517603321
Cohn Leslie  
Providence, Rhode Island : , : American Mathematical Society, , [1975]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui