Integration of paths—a faithful representation of paths by non-commutative formal power series

Chen, Kuo-sai

doi:10.1090/S0002-9947-1958-0106258-0

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Integration of paths—a faithful representation of paths by non-commutative formal power series
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Trans. Amer. Math. Soc. 89 (1958), 395-407 Request permission

References

Kuo-Tsai Chen, Integration in free groups, Ann. of Math. (2) 54 (1951), 147–162. MR 42414, DOI 10.2307/1969316
Kuo-Tsai Chen, Iterated integrals and exponential homomorphisms, Proc. London Math. Soc. (3) 4 (1954), 502–512. MR 73174, DOI 10.1112/plms/s3-4.1.502
Kuo-Tsai Chen, Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula, Ann. of Math. (2) 65 (1957), 163–178. MR 85251, DOI 10.2307/1969671
Tibor Radó, Length and Area, American Mathematical Society Colloquium Publications, Vol. 30, American Mathematical Society, New York, 1948. MR 0024511, DOI 10.1090/coll/030