The Online Books Page

Lie algebras

See also what's at Wikipedia, your library, or elsewhere.

• Algebra, Abstract
• Algebras, Linear

• Lie groups

• Algebras, Lie

• Lie Algebras In Particle Physics: From Isospin To Unified Theories (second edition; Boca Raton et al: CRC Press, c2021), by Howard Georgi (PDF with commentary at OAPEN)

Items below (if any) are from related and broader terms.

• An Introduction to the Lie Theory of One-Parameter Groups, by Abraham Cohen (page images at Cornell)

• Abstract Algebra: Theory and Applications (originally published 1994; latest annual edition c2014), by Thomas W. Judson (PDF with commentary at ups.edu)
• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)
• Elements of Abstract and Linear Algebra, by Edwin H. Connell (PDF and Postscript at Miami)
• Rings and Ideals (Carus Mathematical Monograph #8; c1948), by Neal Henry McCoy (page images at HathiTrust)

• FRAGSTATS: Spatial Pattern Analysis Program for Quantifying Landscape Structure (Pacific Northwest Research Station General Technical Report PNW-GTR-351; 1995), by Kevin McGarigal and Barbara J. Marks (page images at HathiTrust)

• Abstract Algebra: The Basic Graduate Year (electronic edition, 2002), by Robert B. Ash (PDF files at Wayback Machine)

• Abstract Algebra: The Basic Graduate Year (electronic edition, 2002), by Robert B. Ash (PDF files at Wayback Machine)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)
• Category Theory for the Sciences (Cambridge, MA, and London: MIT Press, c2014), by David I. Spivak (illustrated HTML with commentary at MIT Press)
• Category Theory for Computing Science (revised reprint from Theory and Applications of Categories, 2013), by Michael Barr and Charles Wells (PDF in Canada)
• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)
• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)
• Category Theory for Programmers (free online edition), by Bartosz Milewski, ed. by Igal Tabacnik (illustrated HTML and PDF with commentary at bartoszmilewski.com and Github)

• Noncommutative Localization in Algebra and Topology (electronic edition, ca. 2006), ed. by Andrew Ranicki (PDF in the UK)

• Theory and Applications of Categories (1995-) (full serial archives)

• Algebraic L-Theory and Topological Manifolds (electronic edition, 2011), by Andrew Ranicki (PDF in the UK)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)

• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)

• Structure of Algebras (American Mathematical Society Colloquium Publications v24, revised printing; 1961), by A. Adrian Albert (page images at HathiTrust; US access only)
• Model Theory, Algebra, and Geometry (2000), ed. by Deirdre Haskell, Anand Pillay, and Charles Steinhorn (PDF files with commentary at msri.org)

• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF at arxiv.org)

• Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (2002), ed. by Christian U. Jensen, Arne Ledet, and Noriko Yui (PDF files with commentary at msri.org)

• Rings and Ideals (Carus Mathematical Monograph #8; c1948), by Neal Henry McCoy (page images at HathiTrust)
• Rings of Continuous Functions (Princeton, NJ et al.: Van Nostrand, 1960), by Leonard Gillman and Meyer Jerison (page images at HathiTrust)

• Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)

• Elements of Quaternions, by Arthur Sherburne Hardy (page images at Cornell)
• Lectures on Quaternions, by William Rowan Hamilton (page images at Cornell)
• A Manual of Quaternions, by Charles Jasper Joly (page images at Cornell)
• The Outlines of Quaternions, by H. W. L. Hime (page images at Cornell)
• A Primer of Quaternions, by Arthur S. Hathaway
  • Gutenberg PDF and zipped LaTeX
  • page images at Cornell
• Quaternions as the Result of Algebraic Operations, by Arthur Latham Baker (page images at Cornell)
• Utility of Quaternions in Physics, by Alex. McAulay (page images at Cornell)
• Vector Analysis and Quaternions, by Alexander Macfarlane (page images at Cornell)
• Vector and Tensor Analysis (New York: J. Wiley and Sons; London: Chapman and Hall, c1947), by Louis Brand (page images at HathiTrust)

• Bibliography of Quaternions and Allied Systems of Mathematics, by Alexander Macfarlane (page images at Cornell)

• Grassmann's Space Analysis, by E. W. Hyde (page images at Cornell)

• Lattice Theory (American Mathematical Society Colloquium Publications v25, revised edition; 1948), by Garrett Birkhoff (page images at HathiTrust)

• Theory of Lattice Dynamics in the Harmonic Approximation (New York and London: Academic Press, 1963), by Alexei A. Maradudin, E. W. Montroll, and George H. Weiss (page images at HathiTrust)

• Theory of Lattice Dynamics in the Harmonic Approximation (New York and London: Academic Press, 1963), by Alexei A. Maradudin, E. W. Montroll, and George H. Weiss (page images at HathiTrust)

• Optimization Algorithms on Matrix Manifolds (2008), by P.-A. Absil, R. Mahony, and R. Sepulchre (PDF files with commentary at Princeton)
• Basic Theorems in Matrix Theory (National Bureau of Standards Applied Mathematics Series #57; Washington: GPO, 1960), by Marvin Marcus (page images at HathiTrust)
• Introduction to Matrix Analysis (New York et al.: McGraw-Hill Book Co., 1960), by Richard Bellman (page images at HathiTrust)
• Lectures on Matrices (American Mathematical Society Colloquium Publications v17, c1934, reprinted 1960), by J. H. M. Wedderburn (page images at HathiTrust)
• The Theory of Matrices (corrected reprint of first edition; New York: Chelsea, ca. 1946), by Cyrus Colton MacDuffee (page images at HathiTrust)
• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)
• Elementary Divisors and Some Properties of the Lyapunov Mapping X to AX + XA* (Argonne, IL: Argonne National Laboratory, 1961), by Wallace Givens (page images at HathiTrust)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)
• Elementary Divisors and Some Properties of the Lyapunov Mapping X to AX + XA* (Argonne, IL: Argonne National Laboratory, 1961), by Wallace Givens (page images at HathiTrust)

More items available under broader and related terms at left.