03096nam 22005295 450 991030012630332120200629212600.03-030-00404-X10.1007/978-3-030-00404-0(CKB)4100000007158997(MiAaPQ)EBC5603431(DE-He213)978-3-030-00404-0(PPN)232471924(EXLCZ)99410000000715899720181122d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierReal Spinorial Groups A Short Mathematical Introduction /by Sebastià Xambó-Descamps1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (x, 131 pages)SpringerBriefs in Mathematics,2191-81983-030-00403-1 Chapter 1- Mathematical background -- Chapter 2- Grassmann algebra -- Chapter 3- Geometric Algebra -- Chapter 4- Orthogonal geometry with GA -- Chapter 5- Zooming in on rotor groups -- Chapter 6- Postfaces -- References.This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index. Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.SpringerBriefs in Mathematics,2191-8198GeometryGroup theoryPhysicsGeometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Geometry.Group theory.Physics.Geometry.Group Theory and Generalizations.Mathematical Methods in Physics.515.63Xambó-Descamps Sebastiàauthttp://id.loc.gov/vocabulary/relators/aut422638BOOK9910300126303321Real Spinorial Groups1563733UNINA