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Algebra II
Door A.I. Kostrikin e.a.
| Categorie | Algemeen wetenschap |
|---|---|
| Boeknummer | #343801 |
| Titel | Algebra II : Noncommutative Rings: Identities |
| Auteur | Kostrikin, A.I. & I.R. Shafarevich (editors) |
| Boektype | Gebonden hardcover |
| Uitgeverij | Berlin/Heidelberg : Springer-Verlag |
| Jaar van uitgave | 1991 |
| ISBN10 | 3540181776 |
| ISBN13 | 9783540181774 |
| Taal | Engels |
| Beschrijving | Original boards, illustrated with numerous equations and diagrams, 8vo. Encyclopaedia of Mathematical Sciences, 18. |
| Samenvatting | The algebra of square matrices of size n ~ 2 over the field of complex numbers is, evidently, the best-known example of a non-commutative alge- 1 bra * Subalgebras and subrings of this algebra (for example, the ring of n x n matrices with integral entries) arise naturally in many areas of mathemat- ics. Historically however, the study of matrix algebras was preceded by the discovery of quatemions which, introduced in 1843 by Hamilton, found ap- plications in the classical mechanics of the past century. Later it turned out that quaternion analysis had important applications in field theory. The al- gebra of quaternions has become one of the classical mathematical objects; it is used, for instance, in algebra, geometry and topology. We will briefly focus on other examples of non-commutative rings and algebras which arise naturally in mathematics and in mathematical physics. The exterior algebra (or Grassmann algebra) is widely used in differential geometry - for example, in geometric theory of integration. Clifford algebras, which include exterior algebras as a special case, have applications in rep- resentation theory and in algebraic topology. The Weyl algebra (Le. algebra of differential operators with * polynomial coefficients) often appears in the representation theory of Lie algebras. In recent years modules over the Weyl algebra and sheaves of such modules became the foundation of the so-called microlocal analysis. The theory of operator algebras (Le. |
| Pagina's | 234 |
| Conditie | Goed — Name in pen on title page. |
| Prijs | € 40,00 |
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