| eBook ISBN: | 978-0-8218-7670-1 |
| Product Code: | CONM/82.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7670-1 |
| Product Code: | CONM/82.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 82; 1989; 254 ppMSC: Primary 20; Secondary 00
During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems.
To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.
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Table of Contents
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Articles
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Hsio-fu Tuan — Memories of Loo-Keng Hua [ MR 982272 ]
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Edward T. Cline, Brian J. Parshall and Leonard L. Scott — Duality in highest weight categories [ MR 982273 ]
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Alexander J. Hahn — The finite presentability of linear groups [ MR 982274 ]
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Donald G. James — Representations of anisotropic classical groups [ MR 982275 ]
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Fu An Li and Zun Xian Li — The isomorphisms of ${\rm GL}_3$ over commutative rings [ MR 982276 ]
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Shang Zhi Li — Overgroups of certain subgroups in the classical groups over division rings [ MR 982277 ]
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G. Lusztig — Modular representations and quantum groups [ MR 982278 ]
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Andy R. Magid — Deformations of representations of discrete groups [ MR 982279 ]
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Charles Nunley and Andy Magid — Simple representations of the integral Heisenberg group [ MR 982280 ]
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Brian J. Parshall — Finite-dimensional algebras and algebraic groups [ MR 982281 ]
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Hong Shuo Ren, Zhe Xian Wan and Xiao Long Wu — Isomorphisms of linear groups over skew fields [ MR 982282 ]
-
Leonard L. Scott — Derived categories and algebraic groups [ MR 982283 ]
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Gary M. Seitz — Maximal subgroups of exceptional groups [ MR 982284 ]
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Jian Yi Shi — Some recent developments on the cells of affine Weyl groups [ MR 982285 ]
-
Wu Jie Shi — A new characterization of some simple groups of Lie type [ MR 982286 ]
-
Hsio-Fu Tuan — Some problems in the block theory of modular representations [ MR 982287 ]
-
L. N. Vaserstein — Linear algebra and algebraic $K$-theory [ MR 982288 ]
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L. N. Vaserstein — Normal subgroups of gauge groups [ MR 982289 ]
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Zhe Xian Wan — Some recent progress on classical groups in China [ MR 982290 ]
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Jian Pan Wang — On the cyclicity and cocyclicity of $G$-modules [ MR 982291 ]
-
Jia Chen Ye — Cartan invariants of finite groups of Lie type [ MR 982292 ]
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Ji Ping Zhang — Complex linear groups of degree at most $p-1$ [ MR 982293 ]
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During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems.
To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.
-
Articles
-
Hsio-fu Tuan — Memories of Loo-Keng Hua [ MR 982272 ]
-
Edward T. Cline, Brian J. Parshall and Leonard L. Scott — Duality in highest weight categories [ MR 982273 ]
-
Alexander J. Hahn — The finite presentability of linear groups [ MR 982274 ]
-
Donald G. James — Representations of anisotropic classical groups [ MR 982275 ]
-
Fu An Li and Zun Xian Li — The isomorphisms of ${\rm GL}_3$ over commutative rings [ MR 982276 ]
-
Shang Zhi Li — Overgroups of certain subgroups in the classical groups over division rings [ MR 982277 ]
-
G. Lusztig — Modular representations and quantum groups [ MR 982278 ]
-
Andy R. Magid — Deformations of representations of discrete groups [ MR 982279 ]
-
Charles Nunley and Andy Magid — Simple representations of the integral Heisenberg group [ MR 982280 ]
-
Brian J. Parshall — Finite-dimensional algebras and algebraic groups [ MR 982281 ]
-
Hong Shuo Ren, Zhe Xian Wan and Xiao Long Wu — Isomorphisms of linear groups over skew fields [ MR 982282 ]
-
Leonard L. Scott — Derived categories and algebraic groups [ MR 982283 ]
-
Gary M. Seitz — Maximal subgroups of exceptional groups [ MR 982284 ]
-
Jian Yi Shi — Some recent developments on the cells of affine Weyl groups [ MR 982285 ]
-
Wu Jie Shi — A new characterization of some simple groups of Lie type [ MR 982286 ]
-
Hsio-Fu Tuan — Some problems in the block theory of modular representations [ MR 982287 ]
-
L. N. Vaserstein — Linear algebra and algebraic $K$-theory [ MR 982288 ]
-
L. N. Vaserstein — Normal subgroups of gauge groups [ MR 982289 ]
-
Zhe Xian Wan — Some recent progress on classical groups in China [ MR 982290 ]
-
Jian Pan Wang — On the cyclicity and cocyclicity of $G$-modules [ MR 982291 ]
-
Jia Chen Ye — Cartan invariants of finite groups of Lie type [ MR 982292 ]
-
Ji Ping Zhang — Complex linear groups of degree at most $p-1$ [ MR 982293 ]
