ISSN 0030-1566

M ATHEMATICAL J OURNALOFO KAYAMA U NIVERSITY
VOL. 62 2020

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DEPARTMENT OF MATHEMATICSFACULTY OF SCIENCEOKAYAMA UNIVERSITYOKAYAMA, JAPANMJOURNAL
ATHEMATICALOF
OKAYAMA UNIVERSITY
FOUNDED BY M. MORIYA, T. INAGAKI, M. OSIMA, T. OTSUKIEDITED BY
Shoichi FUJIMORI
Masao ISHIKAWA∗
Kazuyoshi KIYOHARA
Takeshi TORII

Mitsuyasu HASHIMOTO
Hiroshi KAWABI
Masaharu TANIGUCHI
Yuji YOSHINO(∗ : Managing Editor)
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CONTENTS
Page
FUJIMORI, S., KAWAKAMI, Y, KOKUBU, M.,
ROSSMAN, W., UMEHARA, M. and YAMADA, K.
Analytic extension of exceptional constant mean curvature
one catenoids in de Sitter 3-space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
HIROSHIMA, T. Crystal interpretation of a formula on
the branching rule of types Bn , Cn , and Dn . . . . . . . . . . . . . . . . . . . . . . .

87

OHARA, M. A representation for algebraic K-theory of
quasi-coherent modules over affine spectral schemes . . . . . . . . . . . . . . .

1

POH, A. and Taniguchi M. Existence and stability ofstationary solutions to the Allen–Cahn equation discretizedin space and time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197
ŌSHIMA, H. and ŌSHIMA, K. Unstable higher Toda
brackets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

27

JANUARY 2020
Vol. 62CONTENTS
PageOHARA, M. A representation for algebraic K-theory of quasi-coherent
modules over affine spectral schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1

Unstable higher Toda brackets . . . . . . . . . . . . .

27

HIROSHIMA, T. Crystal interpretation of a formula on the branchingrule of types Bn , Cn , and Dn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

87

ŌSHIMA, H. and ŌSHIMA, K.

FUJIMORI, S., KAWAKAMI, Y, KOKUBU, M., ROSSMAN, W.,
UMEHARA, M. and YAMADA, K. Analytic extension ofexceptional constant mean curvature one catenoids in de Sitter 3-space . . . . . . . . 179
POH, A. and Taniguchi M. Existence and stability of stationary
solutions to the Allen–Cahn equation discretized in space and time . . . . . . . . . . . 197

A REPRESENTATION FOR ALGEBRAIC K-THEORY OFQUASI-COHERENT MODULES OVER AFFINE SPECTRALSCHEMESMariko OHARAReprinted from Mathematical Journal of Okayama University
Vol. 62, 2020

UNSTABLE HIGHER TODA BRACKETS
Dedicated to memories of the Arakis
Hideaki ŌSHIMA and Katsumi ŌSHIMA

Reprinted from Mathematical Journal of Okayama University
Vol. 62, 2020

CRYSTAL INTERPRETATION OF A FORMULA ON THE
BRANCHING RULE OF TYPES Bn , Cn , AND Dn
Toya HIROSHIMA

Reprinted from Mathematical Journal of Okayama University
Vol. 62, 2020

ANALYTIC EXTENSION OF EXCEPTIONALCONSTANT MEAN CURVATURE ONE CATENOIDS
IN DE SITTER 3-SPACE
Shoichi FUJIMORI, Yu KAWAKAMI, Masatoshi KOKUBU, Wayne ROSSMAN,Masaaki UMEHARA and Kotaro YAMADA

Reprinted from Mathematical Journal of Okayama University
Vol. 62, 2020

EXISTENCE AND STABILITY OF STATIONARYSOLUTIONS TO THE ALLEN–CAHN EQUATIONDISCRETIZED IN SPACE AND TIME
Amy POH Ai Ling and Masaharu Taniguchi

Reprinted from Mathematical Journal of Okayama University
Vol. 62, 2020