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Jordan pairs / / Ottmar Loos
| Jordan pairs / / Ottmar Loos |
| Autore | Loos Ottmar |
| Edizione | [1st ed. 1975.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1975] |
| Descrizione fisica | 1 online resource (XVIII, 226 p.) |
| Disciplina | 512.24 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico | Jordan algebras |
| ISBN | 3-540-37499-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Jordan pairs -- Alternative pairs -- Alternative and Jordan pairs with chain conditions -- Finite-dimensional Jordan pairs. |
| Record Nr. | UNISA-996466852803316 |
Loos Ottmar
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| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Locally finite root systems / / Ottmar Loos, Erhard Neher
| Locally finite root systems / / Ottmar Loos, Erhard Neher |
| Autore | Loos Ottmar |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (232 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie superalgebras
Root systems (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0412-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. The category of sets in vector spaces""; ""2. Finiteness conditions and bases""; ""3. Locally finite root systems""; ""4. Invariant inner products and the coroot system""; ""5. Weyl groups""; ""6. Integral bases, root bases and Dynkin diagrams""; ""7. Weights and coweights""; ""8. Classification""; ""9. More on Weyl groups and automorphism groups""; ""10. Parabolic subsets and positive systems for symmetric sets in vector spaces""; ""11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group""
""12. Closed and full subsystems of finite and infinite classical root systems""""13. Parabolic subsets of root systems: classification""; ""14. Positive systems in root systems""; ""15. Positive linear forms and facets""; ""16. Dominant and fundamental weights""; ""17. Gradings of root systems""; ""18. Elementary relations and graphs in 3-graded root systems""; ""Appendix A. Some standard results on finite root systems""; ""Appendix B. Cones defined by totally preordered sets""; ""Bibliography""; ""Index of notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I"" ""J""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910480515603321 |
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Loos Ottmar
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| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Locally finite root systems / / Ottmar Loos, Erhard Neher
| Locally finite root systems / / Ottmar Loos, Erhard Neher |
| Autore | Loos Ottmar |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (232 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie superalgebras
Root systems (Algebra) |
| ISBN | 1-4704-0412-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. The category of sets in vector spaces""; ""2. Finiteness conditions and bases""; ""3. Locally finite root systems""; ""4. Invariant inner products and the coroot system""; ""5. Weyl groups""; ""6. Integral bases, root bases and Dynkin diagrams""; ""7. Weights and coweights""; ""8. Classification""; ""9. More on Weyl groups and automorphism groups""; ""10. Parabolic subsets and positive systems for symmetric sets in vector spaces""; ""11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group""
""12. Closed and full subsystems of finite and infinite classical root systems""""13. Parabolic subsets of root systems: classification""; ""14. Positive systems in root systems""; ""15. Positive linear forms and facets""; ""16. Dominant and fundamental weights""; ""17. Gradings of root systems""; ""18. Elementary relations and graphs in 3-graded root systems""; ""Appendix A. Some standard results on finite root systems""; ""Appendix B. Cones defined by totally preordered sets""; ""Bibliography""; ""Index of notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I"" ""J""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910788747403321 |
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Loos Ottmar
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Locally finite root systems / / Ottmar Loos, Erhard Neher
| Locally finite root systems / / Ottmar Loos, Erhard Neher |
| Autore | Loos Ottmar |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (232 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie superalgebras
Root systems (Algebra) |
| ISBN | 1-4704-0412-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. The category of sets in vector spaces""; ""2. Finiteness conditions and bases""; ""3. Locally finite root systems""; ""4. Invariant inner products and the coroot system""; ""5. Weyl groups""; ""6. Integral bases, root bases and Dynkin diagrams""; ""7. Weights and coweights""; ""8. Classification""; ""9. More on Weyl groups and automorphism groups""; ""10. Parabolic subsets and positive systems for symmetric sets in vector spaces""; ""11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group""
""12. Closed and full subsystems of finite and infinite classical root systems""""13. Parabolic subsets of root systems: classification""; ""14. Positive systems in root systems""; ""15. Positive linear forms and facets""; ""16. Dominant and fundamental weights""; ""17. Gradings of root systems""; ""18. Elementary relations and graphs in 3-graded root systems""; ""Appendix A. Some standard results on finite root systems""; ""Appendix B. Cones defined by totally preordered sets""; ""Bibliography""; ""Index of notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I"" ""J""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910818015503321 |
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Loos Ottmar
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| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Steinberg Groups for Jordan Pairs [[electronic resource] /] / by Ottmar Loos, Erhard Neher
| Steinberg Groups for Jordan Pairs [[electronic resource] /] / by Ottmar Loos, Erhard Neher |
| Autore | Loos Ottmar |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (XII, 458 p. 2 illus. in color.) |
| Disciplina | 512.24 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Nonassociative rings
Rings (Algebra) K-theory Number theory Group theory Non-associative Rings and Algebras K-Theory Number Theory Group Theory and Generalizations |
| ISBN | 1-0716-0264-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Notation and Conventions -- Groups with Commutator Relations -- Groups Associated with Jordan Pairs -- Steinberg Groups for Peirce Graded Jordan Pairs -- Jordan Graphs -- Steinberg Groups for Root Graded Jordan Pairs -- Central Closedness -- Bibliography -- Subject Index -- Notation Index. |
| Record Nr. | UNINA-9910370251503321 |
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Loos Ottmar
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| New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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