Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces

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9789048166763: Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
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Lev Sabinin
Edité par Springer, Netherlands (2010)
ISBN 10 : 9048166764 ISBN 13 : 9789048166763
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Description du livre Springer, Netherlands, 2010. Paperback. État : New. 1st ed. Softcover of orig. ed. 2004. 235 x 159 mm. Language: English . Brand New Book ***** Print on Demand *****.As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions. Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebras [L.V. Sabinin, 65]. This concept is directly concerned with unitary symmetry of elementary par- cles (see [L.V. Sabinin, 95,85] and Appendix 1). The first examples of involutive (even iso-involutive) sums appeared in the - ploration of homogeneous Riemannian spaces with and axial symmetry. The consideration of spaces with mirrors [L.V. Sabinin, 59b] again led to iso-involutive sums. N° de réf. du libraire AAV9789048166763

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Lev Sabinin
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Description du livre Springer, 2010. PAP. État : New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire LQ-9789048166763

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LEV V. SABININ
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Description du livre Springer, 2010. Paperback. État : NEW. 9789048166763 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0387464

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Lev Sabinin
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Description du livre Springer, Netherlands, 2010. Paperback. État : New. 1st ed. Softcover of orig. ed. 2004. 235 x 159 mm. Language: English . Brand New Book ***** Print on Demand *****. As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions.Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebras [L.V. Sabinin, 65]. This concept is directly concerned with unitary symmetry of elementary par- cles (see [L.V. Sabinin, 95,85] and Appendix 1). The first examples of involutive (even iso-involutive) sums appeared in the - ploration of homogeneous Riemannian spaces with and axial symmetry. The consideration of spaces with mirrors [L.V. Sabinin, 59b] again led to iso-involutive sums. N° de réf. du libraire AAV9789048166763

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Sabinin, Lev V.
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Description du livre Springer, 2010. État : New. This item is printed on demand for shipment within 3 working days. N° de réf. du libraire LP9789048166763

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Lev Sabinin
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Description du livre Springer, 2010. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IQ-9789048166763

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Sabinin, Lev V.
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Description du livre Springer, 2016. Paperback. État : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du libraire ria9789048166763_lsuk

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Lev V. Sabinin
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Description du livre Springer, 2011. Paperback. État : New. Softcover reprint of hardcover 1. This item is printed on demand. N° de réf. du libraire DADAX9048166764

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Lev V. Sabinin
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Description du livre Springer, 2004. Paperback. État : Brand New. 330 pages. In Stock. N° de réf. du libraire x-9048166764

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Lev V. Sabinin
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Description du livre Springer. Paperback. État : New. Paperback. 312 pages. Dimensions: 9.2in. x 6.2in. x 0.8in.As K. Nomizu has justly noted K. Nomizu, 56, Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 L. V. Sabinin, 58a, 59a, 59b. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in L. V. Sabinin, 61b. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions. Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebras L. V. Sabinin, 65. This concept is directly concerned with unitary symmetry of elementary par- cles (see L. V. Sabinin, 95, 85 and Appendix 1). The first examples of involutive (even iso-involutive) sums appeared in the - ploration of homogeneous Riemannian spaces with and axial symmetry. The consideration of spaces with mirrors L. V. Sabinin, 59b again led to iso-involutive sums. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. N° de réf. du libraire 9789048166763

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