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@BOOK{Hall:371445,
      author       = {Hall, Brian C.},
      title        = {{L}ie {G}roups, {L}ie {A}lgebras, and {R}epresentations:
                      {A}n {E}lementary {I}ntroduction},
      volume       = {222},
      address      = {New York},
      publisher    = {Springer},
      reportid     = {PUBDB-2017-132702},
      isbn         = {9781441923134},
      series       = {Graduate Texts in Mathematics},
      pages        = {351 S},
      year         = {2010},
      abstract     = {Lie groups, Lie algebras, and representation theory are the
                      main focus of this text. In order to keep the prerequisites
                      to a minimum, the author restricts attention to matrix Lie
                      groups and Lie algebras. This approach keeps the discussion
                      concrete, allows the reader to get to the heart of the
                      subject quickly, and covers all of the most interesting
                      examples. The book also introduces the often-intimidating
                      machinery of roots and the Weyl group in a gradual way,
                      using examples and representation theory as motivation. The
                      text is divided into two parts. The first covers Lie groups
                      and Lie algebras and the relationship between them, along
                      with basic representation theory. The second part covers the
                      theory of semisimple Lie groups and Lie algebras, beginning
                      with a detailed analysis of the representations of SU(3).
                      The author illustrates the general theory with numerous
                      images pertaining to Lie algebras of rank two and rank
                      three, including images of root systems, lattices of
                      dominant integral weights, and weight diagrams. This book is
                      sure to become a standard textbook for graduate students in
                      mathematics and physics with little or no prior exposure to
                      Lie theory. Brian Hall is an Associate Professor of
                      Mathematics at the University of Notre Dame},
      keywords     = {Lie groups (DE-H253) / Lie algebra (DE-H253) /
                      Baker-Campbell-Hausdorff formula (DE-H253) / representations
                      (DE-H253) / root systems (DE-H253) / weights (DE-H253)},
      ddc          = {512.482},
      shelfmark    = {M Hal},
      typ          = {PUB:(DE-HGF)3},
      url          = {https://bib-pubdb1.desy.de/record/371445},
}