Optimal version of Hua's fundamental theorem of geometry of rectangular matrices / Peter Semrl.

By:

Semrl, Peter

Material type: Text

TextSeries: Memoirs of the American Mathematical Society ; v 232, no 1089.Publication details: Providence : American Mathematical Society, c2014.Description: v, 74 p. ; 25 cmISBN:

9780821898451 (pbk. : acidfree paper)

Subject(s):

DDC classification:

510 23 Am512

Contents:

1. Introduction -- 2. Notation and basic definitions -- 3. Examples -- 4. Statement of main results -- 5. Proofs -- 5.1 Preliminary results -- 5.2 Splitting the proof of main results into subcases -- 5.3 Square case -- 5.4 Degenerate case -- 5.5 Non-square case -- 5.6 Proofs of corollaries-- Acknowledgments-- Bibliography.

Summary: Hua's fundamental theorem of geometry of matrices describes the general form of bijective maps on the space of all m??????n matrices over a division ring D which preserve adjacency in both directions. Motivated by several applications the author studies a long standing open problem of possible improvements.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	510 Am512 (Browse shelf(Opens below))	Available		135880

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"November 2014, volume 232, number 1089 (first of 6 numbers)"

Includes bibliographical references (pages 73-74).

1. Introduction --
2. Notation and basic definitions --
3. Examples --
4. Statement of main results --
5. Proofs --
5.1 Preliminary results --
5.2 Splitting the proof of main results into subcases --
5.3 Square case --
5.4 Degenerate case --
5.5 Non-square case --
5.6 Proofs of corollaries--
Acknowledgments--
Bibliography.

Hua's fundamental theorem of geometry of matrices describes the general form of bijective maps on the space of all m??????n matrices over a division ring D which preserve adjacency in both directions. Motivated by several applications the author studies a long standing open problem of possible improvements.

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