“…Presents an introduction to Lie theory suitable for junior and senior level undergraduates. …”
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“…Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. …”
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“…During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. …”
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“…This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. …”
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“…Specifically, the author aims to show how the well-known methods of angular momentum algebra can be extended to treat other Lie group…”
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“…Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. …”
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“…This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartans' theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction (cf. …”
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“…Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. …”
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“…This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. …”
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“…Working with complete Lie algebras, they construct, in a combinatorial way, a cosimplicial Lie model for the standard simplices. …”
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