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Actions on Alternating Matrices and Compound Matrices

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Leavitt Path Algebras and Classical K-Theory

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Abstract

In this paper, we compute the matrix of the linear transformation associated with the action of the special linear groups on the space of all alternating matrices.

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References

  1. P. Garrett, Sporadic isogenies to orthogonal groups, http://www.math.umn.edu/~garrett/m/v/sporadic_isogenies.pdf

  2. R.A. Horn, C.R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge)

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  3. S. Jose, R.A. Rao, A fundamental property of Suslin matrices. J. \(K\)-Theory: \(K\)-Theory Appl. Algebra Geom. Topol. 5, 407–436 (2010)

    Article  MathSciNet  Google Scholar 

  4. S. Jose, R.A. Rao, Suslin forms and the Euler characteristics, in preparation

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  5. B.R. McDonald, Linear Algebra over Commutative Rings. Pure and Applied Mathematics, vol. 87 (Marcel Dekker Inc., New York, 1984)

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  6. A.A. Suslin, L.N. Vaserstein, Serre’s problem on projective modules over polynomial rings and algebraic K-theory. Math. USSR Izv. 10, 937–1001 (1976)

    Article  Google Scholar 

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Acknowledgements

The second author thanks the Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, for the funding of project MTR/2017/000875 under Mathematical Research Impact Centric Support (MATRICS).

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Authors and Affiliations

  1. Department of Mathematics, Government College, Nani-Daman, 396210, India

    Bhatoa Joginder Singh

  2. Department of Mathematics, The Institute of Science, Madam Cama Road, Mumbai, 400032, India

    Selby Jose

Authors
  1. Bhatoa Joginder Singh
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  2. Selby Jose
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Corresponding author

Correspondence to Selby Jose .

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Editors and Affiliations

  1. Department of Mathematics, Cochin University of Science and Technology, Cochin, Kerala, India

    A. A. Ambily

  2. Centre for Research in Mathematics, Western Sydney University, Sydney, NSW, Australia

    Roozbeh Hazrat

  3. Statistics and Mathematics Unit, Indian Statistical Institute, Bengaluru, Karnataka, India

    B. Sury

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Singh, B.J., Jose, S. (2020). Actions on Alternating Matrices and Compound Matrices. In: Ambily, A., Hazrat, R., Sury, B. (eds) Leavitt Path Algebras and Classical K-Theory. Indian Statistical Institute Series. Springer, Singapore. https://doi.org/10.1007/978-981-15-1611-5_9

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