Abstract
There are three major types of bilinear forms: hermitian (or symmetric), unitary, and alternating (skew-symmetric). In this chapter, we give structure theorems giving normalized expressions for these forms with respect to suitable bases. The chapter also follows the standard pattern of decomposing an object into a direct sum of simple objects, insofar as possible.
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© 2002 Springer Science+Business Media New York
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Lang, S. (2002). Structure of Bilinear Forms. In: Algebra. Graduate Texts in Mathematics, vol 211. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0041-0_15
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DOI: https://doi.org/10.1007/978-1-4613-0041-0_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6551-1
Online ISBN: 978-1-4613-0041-0
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